Philip L. Roe | Academic Influence

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Philip L. Roe

Computer Science

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#1820

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#1298

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Computer Science

Philip L. Roe's Degrees

Masters Computer Science Stanford University
Bachelors Computer Science University of California, Berkeley

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Why Is Philip L. Roe Influential?

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According to Wikipedia, Philip L. Roe is a Professor of Aerospace Engineering at the University of Michigan in Ann Arbor. He is known for his work in the field of Computational Fluid Dynamics and Magnetohydrodynamics. Roe made fundamental contributions to the development of high-resolution schemes for hyperbolic conservation laws. He has developed approximate Riemann solver called Roe solver for compressible flows with shocks.

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Philip L. Roe'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

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes (1997) (8180)
CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONS (1986) (1761)
Regular Article: A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics (1999) (1230)
On Godunov-type methods near low densities (1991) (886)
Characteristic time-stepping or local preconditioning of the Euler equations (1991) (322)
Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks (2009) (308)
A comparison of numerical flux formulas for the Euler and Navier-Stokes equations (1987) (265)
Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics (1986) (256)
Notes on the Eigensystem of Magnetohydrodynamics (1996) (239)
Efficient construction and utilisation of approximate riemann solutions (1985) (189)
A multidimensional generalization of Roe's flux difference splitter for the euler equations (1993) (188)
High Order Fluctuation Schemes on Triangular Meshes (2003) (184)
Upwind differencing schemes for hyperbolic conservation laws with source terms (1987) (170)
Heliosphere in the magnetized local interstellar medium' Results of a three-dimensional MHD (1998) (155)
On Postshock Oscillations Due to Shock Capturing Schemes in Unsteady Flows (1997) (154)
Fluctuations and signals - a framework for numerical evolution problems. (137)
The use of the Riemann problem in finite difference schemes (1989) (135)
An upwind scheme for magnetohydrodynamics (1995) (133)
Fluctuation splitting schemes for the 2D Euler equations (1991) (125)
Optimum positive linear schemes for advection in two and three dimensions (1992) (117)
Improved Simulation of Flow Regime Transition in Sewers: Two-Component Pressure Approach (2006) (114)
Generalized formulation of TVD Lax-Wendroff schemes (1984) (111)
Evaluation of Euler Fluxes for Hypersonic Heating Computations (2010) (105)
A Well-Behaved TVD Limiter for High-Resolution Calculations of Unsteady Flow (1997) (100)
An Entropy Adjoint Approach to Mesh Refinement (2010) (93)
Evaluation of Euler Fluxes for Hypersonic Flow Computations (2009) (92)
Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws (1993) (82)
Vorticity-Preserving Lax-Wendroff-Type Schemes for the System Wave Equation (2001) (77)
A frontal approach for internal node generation in Delaunay triangulations (1993) (74)
Adaptive-mesh algorithms for computational fluid dynamics (1993) (73)
Divergence- and curl-preserving prolongation and restriction formulas (2002) (72)
Design of optimally smoothing multistage schemes for the Euler equations (1992) (71)
Algorithms for advection and shock problems (1982) (68)
Linear Bicharacteristic Schemes Without Dissipation (1998) (66)
Shock waves and rarefaction waves in magnetohydrodynamics. Part 1. A model system (1997) (64)
Progress on multidimensional upwind Euler solvers for unstructured grids (1991) (64)
Development of non-dissipative numerical schemes for computational aeroacoustics (1993) (60)
A method for designing lifting configurations for high supersonic speeds, using axisymmetric flow fields (1968) (54)
Multidimensional upwinding: Its relation to finite elements (1995) (53)
An Evaluation of Euler Fluxes for Hypersonic Flow Computations (2007) (50)
Towards High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations (2005) (49)
A space-time discontinuous galerkin method for the time-accurate numerical solution of hyperbolic conservation laws (1995) (47)
Error estimates for cell-vertex solutions of the compressible Euler equations (1987) (46)
Radiative effects in radiative shocks in shock tubes (2011) (44)
Multidimensional fluctuation splitting schemes based on decomposition methods (1995) (44)
Robust Euler codes (1997) (43)
Numerical solution of a 10-moment model for nonequilibrium gasdynamics (1995) (43)
A cell centred Lagrangian Godunov scheme for shock hydrodynamics (2011) (43)
Compact high‐resolution algorithms for time‐dependent advection on unstructured grids (2000) (42)
On Godunov-Type Schemes for Magnetohydrodynamics (1998) (42)
A multidimensional flux function with applications to the Euler and Navier-Stokes equations (1993) (42)
Carbuncle Phenomena and Other Shock Anomalies in Three Dimensions (2012) (41)
A survey of upwind differencing techniques (1989) (41)
Accelerated convergence of Jameson's finite-volume Euler scheme using Van der Houwen integrators (1985) (40)
Space-Time Methods for Hyperbolic Conservation Laws (1998) (39)
UNIFICATION OF SOME ADVECTION SCHEMES IN TWO DIMENSIONS (1995) (36)
On High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations (2009) (36)
Multidimensional Active Flux Schemes (2013) (36)
Numerical Oscillations in Pipe-Filling Bore Predictions by Shock-Capturing Models (2009) (35)
Characteristic‐based schemes for dispersive waves I. The method of characteristics for smooth solutions (1993) (34)
Conservative upwind residual-distribution schemes based on the steady characteristics of the euler equations (1995) (34)
Remote boundary conditions for unsteady multi-dimensional aerodynamic computations (1989) (34)
On the nonstationary wave structure of a 35-moment closure for rarefied gas dynamics (1995) (34)
Compact advection schemes on unstructured grids (1993) (34)
Numerical methods in aeronautical fluid dynamics (1982) (34)
On carbuncles and other excrescences (2005) (33)
A new level set model for multimaterial flows (2014) (33)
High resolution shock capturing cell vertex advection schemes on unstructured grids (1994) (32)
The 'optimum' upwind advection on a triangular mesh (1990) (31)
Fluctuation splitting for multidimensional convection problems: An alternative to finite volume and finite element methods (1990) (31)
A Third-Order Fluctuation Splitting Scheme That Preserves Potential Flow (2001) (31)
Entropy-Based Drag-Error Estimation and Mesh Adaptation in Two Dimensions (2012) (31)
Active Flux Schemes (2011) (30)
Third-order active-flux scheme for advection diffusion: Hyperbolic diffusion, boundary condition, and Newton solver (2016) (30)
A grid-independent approximate Riemann solver with applications to the Euler and Navier-Stokes equations (1991) (27)
Discontinuous solutions to hyperbolic systems under operator splitting (1987) (26)
Shock Capturing Anomalies and the Jump Conditions in One Dimension (2011) (25)
Computations of inviscid compressible flows using fluctuation-splitting on triangular meshes (1993) (25)
Entropy-based Mesh Refinement, I: The Entropy Adjoint Approach (2009) (25)
Is Discontinuous Reconstruction Really a Good Idea? (2017) (23)
Governing Equations (2003) (23)
Multidimensional upwind methods for unstructured grids (1992) (22)
A Proposed Cure to the Carbuncle Phenomenon (2009) (22)
The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit (2018) (20)
A frontal approach for node generation in Delaunay triangulations (1992) (20)
Active Flux Schemes for Systems (2011) (19)
Toward a reduction of mesh imprinting (2014) (18)
Effect of a multi-dimensional flux function on the monotonicity of Euler and Navier-Stokes computations (1991) (17)
Investigations of a new scheme for wave propagation (2015) (17)
A General Theory of Local Preconditioning and Its Application to the 2D Ideal MHD Equations (2003) (16)
Multidimensional upwinding: Motivation and concepts (1994) (16)
An improved wave model for multidimensional upwinding of the Euler equations (1993) (16)
Multi-dimensional schemes for scalar advection (1991) (15)
Computational fluid dynamics—retrospective and prospective (2005) (15)
Grids and Solutions from Residual Minimisation (2001) (15)
Compounded of Many Simples (1998) (15)
Issues and Strategies for Hyperbolic Problems with Stiff Source Terms (1998) (14)
Finite-volume methods for the compressible Navier-Stokes equations. (1987) (14)
Adaptive grid generation by minimizing residuals (2002) (14)
Progress towards a new computational scheme for aeroacoustics (1995) (13)
ON MULTIDIMENSIONAL POSITIVELY CONSERVATIVE HIGH-RESOLUTION SCHEMES (1998) (12)
Recent progress in multidimensional upwinding (1990) (12)
Current Issues on Modeling Extreme Inflows in Stormwater Systems (2006) (11)
The Quest for Diagonalization of Differential Systems (1998) (11)
Understanding Aerodynamics: Arguing from the Real Physics (2014) (11)
Three-Dimensional Carbuncles and Euler Fluxes (2010) (11)
Towards a vorticity preserving second order finite volume scheme solving the Euler equations (2005) (11)
Accurate schemes for advection and aeroacoustics (1997) (11)
Numerical Wave Propagation and Steady-State Solutions: Soft Wall and Outer Boundary Conditions (1997) (10)
Shock waves and rarefaction waves in magnetohydrodynamics. Part 2. The MHD system (1997) (10)
Book Review Computational Modelling for Fluid Flow and Interfacial Transport (1994) (9)
Beyond the Riemann Problem, Part I (1993) (8)
A Brief Introduction to High-Resolution Schemes (1997) (8)
New Approaches to Limiting (2015) (8)
ASYMPTOTIC BEHAVIOUR OF SOME NON-LINEAR SCHEMES FOR LINEAR ADVECTION. (1984) (8)
Artificial Surface Tension to Stabilize Captured Shockwaves (2008) (8)
Comparing Active Flux and Discontinuous Galerkin Methods for Compressble Flow (2018) (7)
Geometrical shock dynamics and engine unstart (2011) (7)
Numerical studies of a detonation analogue (1987) (7)
Asymptotic analysis of the Riemann problem for constant coefficient hyperbolic systems with relaxation (2004) (7)
High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equations (2009) (7)
On the Numerical Solution of Conservation Laws by Minimizing Residuals (1994) (7)
Formulation and properties of hybrid matrices for (m + n)-port R networks (1970) (7)
Designing CFD methods for bandwidth—A physical approach (2021) (7)
Continuous adjoint based error estimation and r-refinement for the active-flux method (2016) (7)
New light on numerical boundary conditions (1991) (6)
A Second-Order Finite Volume Method that Reduces Numerical Shockwave Anomalies in One Dimension (2013) (6)
Chapter 3 – Multidimensional Upwinding (2017) (6)
On systems described by the companion matrix (1970) (6)
Development and validation of solution-adaptive, parallel schemes for compressible plasmas (2001) (6)
"Discussion of Numerical oscillations in Pipe-filling bore predictions by (2010) (6)
FLUCTUATION SPLITTING SCHEMES ON OPTIMAL GF (1997) (6)
A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to ut+ux=0 (2017) (6)
An unsteady entropy adjoint approach for adaptive solution of the shallow-water equations (2011) (6)
Multidimensional upwind schemes for scalar advection on tetrahedral meshes (1992) (6)
Did Numerical Methods for Hyperbolic Problems Take a Wrong Turning (2016) (6)
Reviewers for the AIAA Journal-1991 (1992) (6)
Entropy-Based Mesh Refinement, II: A New Approach to Mesh Movement (2009) (5)
An introduction to numerical methods suitable for the Euler equations (1983) (5)
A fresh look at viscous conservation laws via equivalent relaxation systems (1996) (5)
A New Level-Set Model for the Representation of Non-Smooth Geometries (2014) (5)
Delaunay based triangulations for the Navier-stokes equations with minimum user input (1993) (5)
Toward a general theory of local preconditioning (2002) (5)
On a Mistaken Notion of “Proper Upwinding” (1998) (5)
Design of algorithms for a dispersive hyperbolic problem (1991) (4)
Toward Godunov-Type Methods for Hyperbolic Conservation Laws with Stiff Relaxation (2001) (4)
Modern Numerical Methods Applicable to Stellar Pulsation (1990) (4)
Some exact calculations of the lift and drag produced by a wedge in supersonic flow, either directly or by interference (1964) (4)
Modern shock-capturing schemes (1992) (4)
Adjoint-Based Error Estimation and Mesh Adaptation for the Active Flux Method (2013) (4)
Improved Simulation of Flow Regime Transition in Sewers: The Two-Component Pressure Approach - Manuscript HY/2004/023868 (2005) (4)
The Harten Memorial Lecture-New Applications of Upwinding (1998) (4)
My Way: A Computational Autobiography (2020) (3)
Non-existence, non-uniqueness and slow convergence in discrete conservation laws (1988) (3)
A Note on Matrix Graphs (1963) (3)
Acceleration Techniques for Adjoint-Based Error Estimation and Mesh Adaptation (2014) (3)
Active Flux Schemes for Diffusion (2014) (2)
Some Exact Calculations of the Lift and Drag Produced * by a Wedge in Supersonic Flow , Either Directly or by Interference (2002) (2)
The Treatment of Conservation in the Active Flux method (2020) (2)
Adaptive-quadrature fluctuation-splitting schemes for the Euler equations (2005) (2)
Numerical wave propagation and steady state solutions. II - Bulk Viscosity Damping (1993) (2)
A novel numerical scheme based on Active flux method for Hyperbolic heat equations in multidimensional space (2019) (2)
Drag Output Error Estimation Using the Entropy Adjoint Approach (2011) (2)
Multiscale Modeling Of Heliospheric Plasmas (1997) (2)
LOCAL REDUCTION OF CERTAIN WAVE OPERATORS TO ONE-DIMENSIONAL FORM (1994) (2)
Fast Full-Field Simulation of Sonic Boom Using Space Marching Method (2021) (2)
Towards a genuinely multi-dimensional upwind scheme (1990) (2)
Active Flux for Diffusion (2014) (2)
Characteristic-based numerical algorithms for stiff hyperbolic relaxation systems (1997) (2)
On oscillations due to shock capturing in unsteady flows (1995) (2)
Some Properties of Residual Distribution Schemes for the Euler Equations (2001) (2)
On a Tree Expansion Theorem (1961) (2)
An algorithm for the realization of general hybrid matrices for resistive multiports (1972) (1)
Closure to “Numerical Oscillations in Pipe-Filling Bore Predictions by Shock-Capturing Models” by J. G. Vasconcelos, S. J. Wright, and P. L. Roe (2010) (1)
A form of the Euler equations preserving potential flow (1999) (1)
Thin shock-layer theory revisited (2005) (1)
Upwinding without dissipation (1994) (1)
Existence theorem in the time domain for linear active networks (1974) (1)
Properties of Null-Node Graphs: the Mason and Coates Formulas (1965) (1)
Explorations in Quantum Computing (1998) (1)
Bulk viscosity damping for accelerating convergence of low Mach number Euler solvers (2003) (1)
CHAPTER 6 – Shock Capturing (2001) (1)
High resolution schemes for complex hyperbolic conservation laws (1994) (1)
Active Flux Schemes for Diusion (2014) (1)
The best shape for a tin can (1991) (1)
Entropy Traces in Lagrangian and Eulerian Calculations (2011) (1)
A computational approach for modeling solar-wind physics (1997) (0)
Vorticity Preserving Flux Corrected Transport Scheme for the Acoustic Equations (2012) (0)
Acoustics on a Coarse Grid (2023) (0)
* ICASE LOCAL REDUCTION OF CERTAIN WAVE OPERATORS TO ONE-DIMENSIONAL FORM DDTICSELECTE • SEP 0 8 1994 (0)
Explicit Integration Schemes for the Hyperbolized Navier-Stokes Equations (1997) (0)
Fluids by numbers (1985) (0)
My Way: A Computational Autobiography (2019) (0)
There Was a Conference in Europe (2017) (0)
A 97-32412 AIAA-97-2091 Accurate Schemes for Advection and Aeroacoustics (2001) (0)
Is Discontinuous Reconstruction Really a Good Idea? (2017) (0)
DEVELOPMENT AND VALIDATION OF SOLUTION-ADAPTIVE, PARALLEL SCHEMES FOR (2001) (0)
Development of Numerical Extended Hydrodynamics for Transition-Regime Non-Equilibrium Flows Encountered in Semiconductor Manufacturing Processes (1998) (0)
The Continuing Need for Method Development in Computational Fluid Dynamics (2003) (0)
Toward Physically-based limiting for the Active Flux scheme (2021) (0)
Index to the Mathematical Gazette (1991) (0)
Numerical methods in aeronautical fluid dynamics : based on the proceedings of a conference on numerical methods in aeronautical fluid dynamics (1982) (0)
Final Report - Los Alamos National Laboratory Compuational Physics Summer Student Workshop (2012) (0)
Comment on "Inviscid Hypersonic Flow around a Semicone Body" (1977) (0)
A Parallel Workstation for Computational Fluid and Plasma Dynamics Research (2001) (0)
An experimental investigation of the flow through inclined circular tubes at a mach number of 4.0 (1965) (0)
A COMPARISON OF NUMERICAL FLUX FORMULAS FOR THE EUEER AM) NAWER-STOKES EQUATIONS (2003) (0)
Efficient Explicit Integration Schemes for the Hyperbolized Navier-Stokes Equations (1997) (0)
A New Level-Set Model for the Representation of Non-Smooth Geometries (2014) (0)
Solving steady mixed conservation laws by elliptic/hyperbolic decomposition (1997) (0)
Fast Sonic Boom Prediction with Atmospheric Stratification. (2020) (0)

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