Chao-qun Liu
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Engineering
Chao-qun Liu's Degrees
- PhD Mechanical Engineering Stanford University
- Masters Mechanical Engineering Stanford University
- Bachelors Mechanical Engineering Tsinghua University
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(Suggest an Edit or Addition)Chao-qun Liu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Computational Fluid Dynamics: A Practical Approach (2007) (738)
- Preconditioned Multigrid Methods for Unsteady Incompressible Flows (1997) (434)
- New omega vortex identification method (2016) (296)
- Rortex A New Vortex Vector Definition and Vorticity Tensor and Vector Decompositions (2018) (268)
- Third generation of vortex identification methods: Omega and Liutex/Rortex based systems (2019) (242)
- Rortex and comparison with eigenvalue-based vortex identification criteria (2018) (198)
- Direct numerical simulation of flow separation around a NACA 0012 airfoil (2005) (122)
- Physics of turbulence generation and sustenance in a boundary layer (2014) (119)
- Numerical study of passive and active flow separation control over a NACA0012 airfoil (2008) (109)
- New normalized Rortex/vortex identification method (2019) (106)
- Determination of epsilon for Omega vortex identification method (2018) (102)
- Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition (2019) (95)
- Microvortex generators in high-speed flow (2012) (91)
- Weighted Compact Scheme for Shock Capturing (2001) (90)
- Definitions of vortex vector and vortex (2017) (88)
- A selected review of vortex identification methods with applications (2018) (85)
- Modified normalized Rortex/vortex identification method (2019) (77)
- Study of Mechanism of Ring-Like Vortex Formation in Late Flow Transition (2010) (74)
- Multigrid Mapping and Box Relaxation for Simulation of the Whole Process of Flow Transition in 3D Boundary Layers (1995) (73)
- LES for Supersonic Ramp Control Flow Using MVG at M=2.5 and Re=1440 (2010) (64)
- Letter: Galilean invariance of Rortex (2018) (64)
- Parallel DNS for vortex structure of late stages of flow transition (2011) (63)
- A Liutex based definition and identification of vortex core center lines (2019) (59)
- Turbulent transition simulation using thek-ω model (1998) (54)
- DNS Study on Vortex and Vorticity in Late Boundary Layer Transition (2017) (53)
- Analysis of Dynamic Characteristics of the Main Shaft System in a Hydro-turbine Based on ANSYS (2012) (52)
- Non-Reflecting Boundary Conditions for DNS in Curvilinear Coordinates (1999) (48)
- Numerical discovery and experimental confirmation of vortex ring generation by microramp vortex generator (2012) (47)
- Rortex based velocity gradient tensor decomposition (2019) (46)
- Liutex (vortex) core definition and automatic identification for turbulence vortex structures (2019) (44)
- Review of Micro Vortex Generators in High-Speed Flow (2011) (43)
- An objective version of the Rortex vector for vortex identification (2019) (40)
- Numerical study on mechanisms of second sweep and positive spikes in transitional flow on a flat plate (2011) (40)
- DNS for flow separation control around an airfoil by pulsed jets (2007) (40)
- High Order Finite Difference and Multigrid Methods for Spatially Evolving Instability in a Planar Channel (1993) (39)
- DNS study on mechanism of small length scale generation in late boundary layer transition (2012) (37)
- DNS study on Λ-vortex and vortex ring formation in flow transition at Mach number 0.5 (2014) (37)
- Liutex theoretical system and six core elements of vortex identification (2020) (36)
- Galilean invariance of Omega vortex identification method (2019) (36)
- Direct Numerical Simulation of Boundary-Layer Receptivity for Subsonic Flow Around Airfoil (1999) (36)
- Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers—2-D and 3-D approaches (1994) (36)
- Declining Angle Effects of the Trailing Edge of a Microramp Vortex Generator (2010) (36)
- Numerical Investigations on the Effects of the Declining Angle of the Trailing-Edge of MVG (2010) (35)
- DNS for Late Stage Structure of Flow Transition on a Flat-Plate Boundary Layer (2010) (35)
- Objective Omega vortex identification method (2019) (34)
- Study on vorticity structures in late flow transition (2018) (34)
- Correlation analysis on volume vorticity and vortex in late boundary layer transition (2018) (33)
- Multigrid Computation of Incompressible Flows Using Two-Equation Turbulence Models: Part I—Numerical Method (1997) (31)
- Experimental and Numerical Study of Flow Topology Past Micro Vortex Generators (2010) (30)
- Comparisons and analyses of vortex identification between Omega method and Q criterion (2019) (29)
- Study on shock wave-vortex ring interaction by the micro vortex generator controlled ramp flow with turbulent inflow (2013) (29)
- Numerical and Experimental Studies on the Separation Topology of the MVG Controlled Flow at M=2.5 (2011) (29)
- Implicit LES for supersonic microramp vortex generator: new discoveries and new mechanisms (2011) (28)
- Evolution of the vortex structures and turbulent spots at the late-stage of transitional boundary layers (2011) (28)
- Cross-validation of DNS and PSE results for instability wave propagation in compressible boundary layers past curvilinear surfaces (2003) (27)
- DNS for ring - Like vortices formation and roles in positive spikes formation (2010) (27)
- Study on multiple ring-like vortex formation and small vortex generation in late flow transition on a flat plate (2013) (26)
- Direct numerical simulation for the whole process of transition on 3-D airfoils (1996) (25)
- Numerical Simulations of Laminar-Turbulent Transition in Supersonic Boundary Layer (2006) (24)
- Numerical Study of Mechanism of U-shaped Vortex Formation (2011) (23)
- Numerical and theoretical study on ‘vortex breakdown’ (2011) (23)
- New visualization method for vortex structure in turbulence by lambda2 and vortex filaments (2016) (23)
- Liutex similarity in turbulent boundary layer (2019) (23)
- Multigrid method for multi-step finite rate combustion (1995) (22)
- Large-eddy simulation of wing tip vortex in the near field (2008) (22)
- Study on the ring-like vortical structure in MVG controlled supersonic ramp flow with different inflow conditions (2014) (22)
- Direct numerical simulations of crossflow disturbances in supersonic boundary layers (2004) (20)
- Spectrum study on unsteadiness of shock wave–vortex ring interaction (2018) (20)
- Numerical Study on Mechanism of Small Vortex Generation in Boundary Layer Transition (2011) (20)
- Numerical and Experimental Investigations of the Supersonic Microramp Wake (2014) (19)
- Explicit expressions for Rortex tensor and velocity gradient tensor decomposition (2019) (19)
- LES and analyses on the vortex structure behind supersonic MVG with turbulent inflow (2014) (18)
- New findings by high-order DNS for late flow transition in a boundary layer (2011) (18)
- The finite volume-element method (FVE) for planar cavity flow (1989) (18)
- An explicit expression for the calculation of the Rortex vector (2019) (18)
- High performance computation for DNS/LES (2006) (18)
- Physics of multiple level hairpin vortex structures in turbulence (2016) (18)
- Numerical study on U-shaped vortex formation in late boundary layer transition (2012) (16)
- DNS Study on Physics of Late Boundary Layer Transition (2012) (16)
- New theory on turbulence generation and structure—DNS and experiment (2017) (16)
- Direct numerical simulation of transition in a subsonic airfoil boundary layer (1997) (15)
- Modified weighted compact scheme with global weights for shock capturing (2014) (15)
- Principal coordinates and principal velocity gradient tensor decomposition (2020) (15)
- NOx Prediction in 3-D Turbulent Diffusion Flames by Using Implicit Multigrid Methods (1996) (15)
- POD analysis on vortical structures in MVG wake by Liutex core line identification (2020) (15)
- ILES for mechanism of ramp-type MVG reducing shock induced flow separation (2016) (14)
- Practical Guidelines for CFD Simulation and Analysis (2013) (13)
- Numerical, Experimental and Theoretical Studies on Mechanism of K-H Instability and Ring Generation behind Supersonic MVG (2011) (13)
- Numerical Study on Randomization in Late Boundary Layer Transition (2012) (13)
- DNS study on the formation of Lambda rotational core and the role of TS wave in boundary layer transition (2016) (13)
- CFD Mesh Generation: A Practical Guideline (2019) (12)
- Stretching and shearing contamination analysis for Liutex and other vortex identification methods (2020) (12)
- Study on the initial evolution of ring-like vortices generated by MVG (2013) (12)
- Instability-wave propagation in boundary-layer flows at subsonic through hypersonic Mach numbers (2004) (12)
- Large eddy simulation of flow transition in a supersonic flat-plate boundary layer (1999) (11)
- LES Study on the Mechanism of Vortex Rings behind Supersonic MVG with Turbulent Inflow (2012) (11)
- Multigrid methods for flow transition in a planar channel (1991) (11)
- Shear Layer Stability Analysis in Later Boundary Layer Transition and MVG controlled flow (2013) (11)
- Prediction of the precessing vortex core in the Francis-99 draft tube under off-design conditions by using Liutex/Rortex method (2020) (11)
- The Interaction between Vortex Rings and Oblique Shocks by the MVG Controlled Ramp Flow at M=2.5 (2011) (10)
- Direct numerical simulation for flow separation control with pulsed jets (2003) (10)
- Simulation of natural convection in an inclined polar cavity using a finite-difference lattice Boltzmann method (2017) (10)
- DNS study on three vortex identification methods (2017) (10)
- Advances in DNS/LES : Proceedings of the First AFOSR International Conference on DNS/LES, Louisiana Tech University Ruston, Louisiana, USA, August 4-8, 1997 (1997) (10)
- LES investigation into the generation of momentum deficits in the supersonic wake of a micro-ramp (2014) (9)
- Multigrid methods for numerical simulation of laminar diffusion flames (1993) (9)
- Implicit multigrid method for modeling 3-D turbulent diffusion flames with detailed chemistry (1995) (9)
- Liutex core line and POD analysis on hairpin vortex formation in natural flow transition (2020) (9)
- Multigrid Computation of Incompressible Flows Using Two-Equation Turbulence Models: Part II—Applications (1997) (9)
- Multilevel adaptive methods for incompressible flow in grooved channels (1991) (9)
- Smart Weighted Compact Scheme for Shock Tube and Shock-Entropy Interaction (2006) (8)
- New ideas on governing equations of fluid dynamics (2021) (8)
- Weighted compact and non-compact scheme for shock tube and shock entropy interaction (2007) (8)
- Direct numerical simulation of three-dimensional flow around a delta wing (2000) (8)
- Evolution of the ring-like vortices and spike structure in transitional boundary layers (2010) (8)
- Mathematical foundation of turbulence generation—From symmetric to asymmetric Liutex (2019) (8)
- The Vortical Structures in the Rear Separation and Wake Produced by a Supersonic Micro-Ramp (2013) (7)
- Interaction of Microvortex Generator Flow with Ramp-Induced Shock/Boundary-Layer Interactions (2011) (7)
- New fluid kinematics (2021) (7)
- Liutex (vorex) cores in transitional boundary layer with spanwise-wall oscillation (2019) (7)
- New shock detector and improved control function for shock-boundary layer interaction (2012) (7)
- Investigation of correlation between vorticity, Q, λci, λ2, Δ and Liutex (2021) (7)
- Numerical Study on Mechanism of Multiple Rings Formation (2012) (7)
- Multilevel methods for temporal and spatial flow transition simulation in a rough channel (1994) (7)
- Separation Topology of Microramp Vortex Generator Controlled Flow at Mach Number 2.5 (2015) (7)
- DNS study on bursting and intermittency in late boundary layer transition (2017) (7)
- Study on shock wave-vortex ring interaction by the MVG controlled ramp flow with turbulence inlet from dns (2012) (7)
- Numerical investigation on mechanism of multiple vortex rings formation in late boundary-layer transition (2013) (7)
- Modified Weighted Compact Scheme for Shock-Boundary Layer Interaction and Double Cone (2008) (7)
- Governing Equations for CFD: Fundamentals (2013) (6)
- Weighted Compact Scheme (2001) (6)
- Nonlinear analysis of stress and strain for a clay core rock-fill dam with FEM (2012) (6)
- LES Study on Mechanism of Reduction of Shock Induced Flow Separation by MVG (2015) (6)
- New theories on boundary layer transition and turbulence formation (2012) (6)
- DNS study on hairpin vortex structure in turbulence (2015) (6)
- A buffered Fourier spectral method for non-periodic PDE (2012) (6)
- Multigrid methods for flow transition in three-dimensional boundary layers with surface roughness (1993) (5)
- High Order Large Eddy Simulation for Shock-Boundary Layer Interaction Control by a Micro-ramp Vortex Generator (2017) (5)
- Direct Numerical Simulations of Instability-Wave Generation and Propagation in Supersonic Boundary Layers (2003) (5)
- High-order compact scheme for boundary points (2010) (5)
- Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction (2012) (5)
- CFD Techniques—The Basics (2013) (5)
- CFD Solution Analysis—Essentials (2013) (5)
- Numerical studies on evolution of secondary streamwise vortices in transitional boundary layers (2011) (5)
- Numerical Investigations on the Effects of the Declining Back-Edge of MVG (2010) (5)
- New vortex identification method and vortex ring development analysis in boundary layer transition (2016) (5)
- Correlation analysis among vorticity, Q method and Liutex (2020) (5)
- DNS study of turbulence structure in a boundary layer (2014) (5)
- Letter: Mathematical Foundation of Turbulence Generation-Symmetric to Asymmetric Liutex/Rortex (2019) (5)
- High Order Weighted Compact Scheme for Shock/Boundary Layer Interaction (2008) (4)
- Direct numerical simulation of flow transition in high-speed boundary layers around airfoils (1997) (4)
- LES Analysis on Shock-Vortex Ring Interaction (2016) (4)
- DNS study on role of linearly unstable modes in flow transition (2015) (4)
- New governing equations for fluid dynamics (2021) (4)
- Truncation error, dissipation and dispersion terms of fifth order WENO and of WCS for 1D conservation law (2010) (4)
- Correlation between vorticity, Liutex and shear in boundary layer transition (2022) (4)
- High-Order LES for Wing Tip Vortex in the Near Field (2005) (4)
- Stretching and shearing contamination analysis for Liutex and other vortex identification methods (2021) (4)
- Origin of Ring-like Vortices in the MVG Controlled Turbulent Boundary Layer (2013) (4)
- LES Investigation of Near Field Wakes Behind Juncture of Wing and Plate (2004) (4)
- Advances in Modeling of Fluid Dynamics (2014) (4)
- Liutex based new fluid kinematics (2022) (4)
- Modified Fourier Spectral Method for Non-periodic CFD (2012) (3)
- Some Applications of CFD with Examples (2013) (3)
- MASS-FLUX-BASED IMPLICIT MULTIGRID METHOD FOR MODELING MULTIDIMENSIONAL COMBUSTION (1997) (3)
- NO(x), prediction in 3D turbulent diffusion flames by using implicit multigrid methods (1995) (3)
- Construction methodology of weighted upwind compact scheme (2016) (3)
- Some Advanced Topics in CFD (2013) (3)
- Multigrid direct numerical simulation of the whole process of flow transition in 3-D boundary layers (1993) (3)
- Further investigation on the physics of shock wave - vortex interaction in MVG controlled ramp flow (2013) (3)
- Liutex and third generation of vortex identification methods (2022) (3)
- DNS Study on Mechanism of Formation of Lambda Rotational Core in Late Boundary Layer Transition (2014) (3)
- Numerical investigation on chaos in late boundary layer transition to turbulence (2014) (3)
- Improvement of Mixing Function for Modified Upwinding Compact Scheme (2011) (3)
- Weighted upwinding compact scheme for shock capturing (2017) (3)
- Parallel DNS for Flow Separation and Transition around Airfoil (2004) (3)
- LES study on unsteadiness of shock boundary layer interaction (2017) (3)
- Surface Friction and Boundary Layer Thickening in Transitional Flow (2012) (3)
- New Shock Detector for Shock-Boundary Layer Interaction (2009) (3)
- CFD Solution Procedure—A Beginning (2013) (3)
- Implicit LES for Shock/Blunt Body Interaction (2010) (3)
- DNS Study on Lambda Vortex and Vortex Ring Formation by Vortex Filaments in Flow Transition (2013) (3)
- Direct Numerical Simulation of Three (2000) (2)
- Multigrid multi-block computation of incompressible flows using two-equation turbulent models (1997) (2)
- DNS for K- and H-type flow transition over a flat plate (2005) (2)
- Weighted Compact Schemes for Shock / Boundary Layer Interaction (2009) (2)
- POD Study on vortex Structures in MVG wake (2019) (2)
- Weighted compact scheme and smart-filter for 2-D unsteady shock/boundary layer interaction (2006) (2)
- Large Eddy Simulation of Flow Transition in a Compressible Flat-Plate Boundary Layer at Mach 4.5 (1999) (2)
- POD Analyses on Vortex Structure in Late-stage Transition (2018) (2)
- Physical meaning of vorticity based on the RS decomposition and an explicit formula for the Liutex vector (2018) (2)
- Les for separated supersonic turbulent boundary layer and shock interaction (2014) (2)
- DNS for Flow Separation Control Around Airfoil by Steady and Pulsed Jets (2004) (2)
- Computational fluid dynamics and its applications 2012 (2012) (2)
- Numerical simulation of time-dependent flow behind a pair of active vortex generators (2005) (2)
- Line Box Relaxation Method and Multigrid Acceleration for Simulation of 2-D Jet Flow in a Channel (2017) (2)
- Influence of different inlet flow on the ring-like vortex structure in MVG controlled supersonic ramp flow (2014) (2)
- POD Analysis of Losing Symmetry in Late Flow Transition (2019) (2)
- Editorial: advances in computational fluid dynamics and its applications (2011) (2)
- DNS Study on Motion around a Vortex Ring in Transitional Boundary Layers (2016) (2)
- Further Investigation on Shock Wave -Vortex Ring Interaction by the MVG Controlled Ramp Flow (2013) (2)
- Applications of Weighted Compact Scheme to Curvilinear System (2002) (2)
- Les for near field wakes behind junction of wing and plate (2006) (2)
- Multigrid Method for Modeling Multi-Dimensional Combustion with Detailed Chemistry (1996) (2)
- Optimization of MVG position for control of shock boundary layer interaction (2015) (2)
- Numerical and experimental investigations of the flow behind a supersonic micro-ramp (2013) (2)
- DNS study for mechanism of formation of lambda rotational core and ring-like vortex in late boundary layer transition (2014) (2)
- Uniform Weighted Compact and Non-Compact Scheme for Shock Entropy Interaction (2007) (1)
- High order compact scheme for dirichlet boundary points (2008) (1)
- Large-eddy simulation of a shear-free magnetohydrodynamic mixing layer (2001) (1)
- Modified Weighted Compact Scheme for 1-D and 2-D Shock / Wave Interaction (2009) (1)
- Observation on Liutex similarity in the dissipation subrange of turbulent boundary layer (2022) (1)
- Receptivity to freestream vortical disturbance of 2D and 3D airfoils (1996) (1)
- POD Analysis of Coherent Structure in Turbulent Flow after Micro Vortex Generator (2021) (1)
- Vortex Core and POD Analysis on Hairpin Vortex Formation in Flow Transition (2019) (1)
- MULTIGRID METHODS FOR STEADY AND TIME-DEPENDENT FLOW (1998) (1)
- Multiple scale simulation for transitional and turbulent flow (1995) (1)
- DNS Study on Turbulence Generation and Sustenance in Late Boundary Layer Transition (2012) (1)
- Verification and validation of LES for interaction of wingtip vortex and wakes (2008) (1)
- Analysis on Λ-vortex development in a transitional boundary layer (2016) (1)
- LES Study on Vortex Ring-Shock Interaction behind MVG (2011) (1)
- Micro-Ramp Wake Structures Identified by Liutex (2021) (1)
- DNS study on large vortex ring formation in late flow transition (2018) (1)
- Short review of three generations of vortex identification methods (2021) (1)
- Numerical Investigation on the Oblique Shock and High-speed Vortex Rings Interaction (2017) (1)
- Visualizing Liutex Core Using Liutex Lines and Tubes (2021) (1)
- A dynamic procedure for calculating the turbulent kinetic energy (2001) (1)
- Liutex-Represented Vortex Spectrum in Turbulence (2022) (1)
- DNS Study on Mechanism of Flow Chaos in Late Boundary Layer Transition (2015) (1)
- Uniform weighted compact/non-compact schemes for shock/boundary layer interaction (2007) (1)
- Direct Numerical Simulation of Fully Developed Flow Near a Flat Plate (2001) (1)
- Modified Weighted Compact Scheme for Shock Capturing (2013) (1)
- LES Investigation of the Generation of Momentum Deficit in the Supersonic Wake from a Micro-Ramp (2018) (1)
- Observation of the development of Λ-vortex to hairpin vortex packet (2017) (0)
- Liutex and Its Calculation and Galilean Invariance (2020) (0)
- Self-Contradictions in Classical and Current Turbulence Theory and New Turbulence Genearation Theory (2016) (0)
- Liutex similarity in turbulent boundary layer (2019) (0)
- Liutex similarity, structure, and asymmetry in turbulent boundary layer (2021) (0)
- Multigrid method for turbulent separated flows with an upwind high resolution scheme (1998) (0)
- Determination of epsilon for Omega vortex identification method (2018) (0)
- Preface to the first edition (2021) (0)
- Optimization of MVG for Control of Shock Boundary Layer Interaction (2014) (0)
- A Liutex based definition of vortex axis line (2019) (0)
- Consistent subgrid model and compact scheme for shock capturing (2011) (0)
- An objective vortex identification method (2022) (0)
- High-order mixed weighted compact and non-compact scheme for shock / discontinuity and small length scale interaction (2011) (0)
- Liutex and Third Generation of Vortex Identification (2021) (0)
- High Order Schemes for Shock Capturing (2017) (0)
- Study on multiple ring-like vortex formation and small vortex generation in late flow transition on a flat plate (2011) (0)
- Turbulent Inflow and LES Validation (2017) (0)
- Comparison of Liutex and Eigenvalue-based Vortex Identification Criteria for Compressible Flows (2020) (0)
- DNS Study for the Origin of the Chaos in Late Boundary Layer Transition (2013) (0)
- Study on the Formation and Evolution of Vortex Ring Structure behind MVG with Turbulent Inflow Yonghua (2012) (0)
- Multilevel local refinement and multigrid methods for 3-D turbulent flows (1997) (0)
- Self-Contradictions of Current Turbulence Theory and Liu’s New Turbulence Generation Theory (2015) (0)
- Vorticity Redistribution and Vortex Ring Development Analysis in Boundary Layer Transition (2015) (0)
- Study on Hairpin Vortex Structure in Turbulence (2014) (0)
- Shock-wave/boundary layer interaction control using spark-jet and micro-vortex generator (2016) (0)
- Galilean invariance of Omega vortex identification method (2019) (0)
- The Vortical Structures in the Rear Separation and Wake Produced by a Supersonic Micro-Ramp (2014) (0)
- Liutex—a new mathematical definition of fluid rotation (2021) (0)
- DNS Study for the origin of the flow Randomization in Late Boundary Layer Transition (2013) (0)
- Observation of Coherent Structures of Low Reynolds Number Turbulent Boundary Layer by DNS and Experiment (2020) (0)
- Incorrectness of the Second-Generation Vortex Identification Method and Introduction to Liutex (2021) (0)
- LXC-core line method and R-S decomposition for vortex dynamics (2021) (0)
- DNS study on bursting and intermittency in late boundary layer transition (2017) (0)
- Direct Numerical Simulation of Flow Transition in Compressible Boundary Layer Around Airfoils. (1997) (0)
- Liutex and proper orthogonal decomposition for hairpin vortex generation (2021) (0)
- Analysis of Difference Between Liutex and λci (2021) (0)
- Preface for Third Edition (2018) (0)
- Truncation Error Reduction Method for Poisson Equation (2005) (0)
- Dimensional and Theoretical Analysis of Second-Generation Vortex Identification Methods (2021) (0)
- Mathematical Study on Local Fluid Rotation Axis: Vorticity is Not the Rotation Axis (2021) (0)
- Existence, uniqueness, continuity, stability, Galilean invariance, applicability to compressible flows (2021) (0)
- Advances in Computational Fluid Dynamics and Its Applications (2011) (0)
- Implicit compact scheme for harmonic oscillator equation with coulomb friction (2003) (0)
- On collocation methods for solving the neutron transport equation in two-dimensional problems (1986) (0)
- Interaction Between Ramp Shock Wave and Ringlike Vortices (2017) (0)
- Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition (2019) (0)
- LES for Prediction of Pressure Fluctuation for Supersonic Flow around a Truncated Cone (2015) (0)
- Prediction of the precessing vortex core in the Francis-99 draft tube under off-design conditions by using Liutex/Rortex method (2020) (0)
- A mathematical study on the local fluid rotation axis (2021) (0)
- High order LES for supersonic backward-facing step flow with turbulent inflow (2015) (0)
- Other Respects on SBLI Controls (2017) (0)
- Liutex Core Line for Vortex Structure in Turbulence (2021) (0)
- New omega vortex identification method (2016) (0)
- 12th Chaotic Modeling and Simulation International Conference (2020) (0)
- New Perspectives in Fluid Dynamics (2015) (0)
- Correlations Between Pressure Fluctuation and Vortex Motion (2017) (0)
- LES investigation into the generation of momentum deficits in the supersonic wake of a micro-ramp (2014) (0)
- Liutex-based velocity gradient tensor decomposition and vorticity R-S decomposition (2021) (0)
- The Analysis of Flow Regime in the Aerated Flow (2012) (0)
- Application of High-Order Compact Scheme to Incompressible Turbulent Flow (2001) (0)
- Numerical Study on Surface Friction in Transitional Flow (2011) (0)
- Simulation of natural convection in an inclined polar cavity using a finite-difference lattice Boltzmann method (2017) (0)
- POD analysis on vortical structures in MVG wake by Liutex core line identification (2020) (0)
- Book review / Critique de livre (2008) (0)
- Multilevel Methods for Flow Transition with Effects of Surface Roughness Elements (1994) (0)
- LES Study on Structure Characteristics of Shock/Vortex Ring Interaction (2018) (0)
- High performance computation for direct numerical and large eddy simulation (2006) (0)
- Mechanism of MVG for SBLI Control (2017) (0)
- High-order grid generations and its application (1996) (0)
- DNS observation on motion around a vortex ring in transitional boundary layers (2016) (0)
- Defense Technical Information Center Compilation Part Notice ADP 013667 (0)
- POD and DMD Analysis in Late Flow Transition with Omega Method (2020) (0)
- Orthogonal Grid Generation (2017) (0)
- LES for Supersonic Ramp Flow Control Using MVG at M_infty=3 and Re_theta=2400 (2009) (0)
- Correction to: Stretching and shearing contamination analysis for Liutex and other vortex identification methods (2021) (0)
- Principal coordinate system based on velocity gradient tensor (2021) (0)
- A Liutex based definition and identification of vortex core center lines (2019) (0)
- Frequency Investigation on Unsteadiness of Shock-Vortex Ring Interaction (2018) (0)
- Physics of multiple level hairpin vortex structures in turbulence (2016) (0)
- Correlation Analysis Between Low-Frequency Shock Oscillation and Liutex in SBLI (2021) (0)
- Application of Liutex and Some Second-Generation Vortex Identification Methods to Direct Numerical Simulation Data of a Transitional Boundary Layer (2021) (0)
- Comparisons and analyses of vortex identification between Omega method and Q criterion (2019) (0)
- A selected review of vortex identification methods with applications (2018) (0)
- Principal coordinates and principal velocity gradient tensor decomposition (2020) (0)
- A Multigrid Method for Elliptic Grid Generation Using Finite Volume Method (2001) (0)
- High Order Modified Weighted Compact Scheme for High Speed Flow (2008) (0)
- ILES for mechanism of ramp-type MVG reducing shock induced flow separation (2016) (0)
- Modified Upwinding Compact Scheme for 1-D and 2-D Shock / Wave Interaction (2010) (0)
- Correction to: Stretching and shearing contamination analysis for Liutex and other vortex identification methods (2021) (0)
- A multigrid method for 2-D MGD flow control analysis (2004) (0)
- Multilev el Adaptive Methods for Turbulent Combustion with Detaile d Chemistry: Part II (1995) (0)
- Numerical investigation for the whole process of flow transition in 3-D boundary layers (1994) (0)
- Defense Technical Information Center Compilation Part Notice ADP 013630 TITLE : Weighted Compact Scheme (0)
- Study on the initial evolution of ring-like vortices generated by MVG (2013) (0)
- New ideas on governing equations of fluid dynamics (2021) (0)
- Parallel implicit Multigrid Method for Direct Numerical Simulation of Time-Dependent Compressible Turbulent Flow Around Flight Vehicles (1999) (0)
- Liutex-Core-Tubes for Vortex Structure (2022) (0)
- Upwinding Compact Scheme (2011) (0)
- Numerical Simulation of Complex Flow Around a 85 degree Delta Wing (2001) (0)
- Vortex Structure of the Flow Field Around MVG (2017) (0)
- Numerical Simulation for Flow Separation Around a 2-D Airfoil (2001) (0)
- Mathematical foundation of Liutex theory (2022) (0)
- Introduction and Paper Review (2017) (0)
- Hybrid Compact-WENO Scheme for the Interaction of Shock Wave and Boundary Layer (2020) (0)
- Liutex theoretical system and six core elements of vortex identification (2020) (0)
- Spectrum analysis of SWBLI under ramp-type MVG control (2017) (0)
- CFD Case Studies (2018) (0)
- Self-Contradictions in Current Turbulence Theory (2015) (0)
- Comparison of Liutex and other vortex identification methods (2021) (0)
- Liutex-based Modified Navier-Stokes Equation (2020) (0)
- Large-eddy simulation of MVG controlled oblique Shockwave/Boundary layer interaction (2017) (0)
- Principal Decomposition of Velocity Gradient Tensor in the Cartesian Coordinates (2021) (0)
- Liutex and experiments for turbulent flow of low Reynolds number (2021) (0)
- Parallel Multigrid DNS/LES Methods for Time-Dependent Compressible Turbulent Flow (2003) (0)
- Stretching and Shearing Contamination Analysis for Liutex/Rortex and Other Vortex Identification Methods (2020) (0)
- Liutex and Proper Orthogonal Decomposition for Coherence Structure in the Wake of Micro Vortex Generator (2021) (0)
- Multilevel adaptive technique for diffusion flames with complex geometry (1996) (0)
- Liutex iso-surface and LXC-core line methods in DNS analyses (2021) (0)
- LES for interaction of wingtip vortex and wakes (2007) (0)
- Mathematical foundation of turbulence generation—From symmetric to asymmetric Liutex (2019) (0)
- Objective Omega vortex identification method (2019) (0)
- Numerical Simulation for Flow Separation Control with Pulsed Vortex Generator Jets (2003) (0)
- Study on Small Length Scale in Turbulent Flow (2014) (0)
- New Omega Vortex Identification Method Based on Determined Epsilon (2020) (0)
- Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction (2011) (0)
- Investigation of vortex motion mechanism of synthetic jet in a cross flow (2022) (0)
- DNS study on the evolution of vortical packets and their interactions in boundary layer (2015) (0)
- Third generation of vortex identification methods: Omega and Liutex/Rortex based systems (2019) (0)
- Liutex – A New Mathematical Definition of Vortex and Vorticity Decomposition for Turbulence Research (2020) (0)
- Liutex methods for science and engineering applications (2021) (0)
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