Bram van Leer | Academic Influence

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Bram van Leer

Mathematics

#3834

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#5566

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Measure Theory

#411

World Rank

#597

Historical Rank

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Mathematics

Bram van Leer's Degrees

PhD Mathematics University of Amsterdam
Masters Mathematics University of Amsterdam
Bachelors Mathematics University of Amsterdam

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Why Is Bram van Leer Influential?

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According to Wikipedia, Bram van Leer is Arthur B. Modine Emeritus Professor of aerospace engineering at the University of Michigan, in Ann Arbor. He specializes in Computational fluid dynamics , fluid dynamics, and numerical analysis. His most influential work lies in CFD, a field he helped modernize from 1970 onwards. An appraisal of his early work has been given by C. Hirsch

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Bram van Leer'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

Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method (1979) (6554)
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws (1983) (2623)
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme (1974) (1950)
Towards the Ultimate Conservative Difference Scheme (1997) (1829)
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection (1977) (1694)
A comparative study of computational methods in cosmic gas dynamics (1982) (1050)
Comparison of Finite Volume Flux Vector Splittings for the Euler Equations (1985) (862)
High‐order CFD methods: current status and perspective (2013) (790)
Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow (1977) (607)
On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe (1984) (410)
Characteristic time-stepping or local preconditioning of the Euler equations (1991) (322)
A comparison of numerical flux formulas for the Euler and Navier-Stokes equations (1987) (265)
Upwind-difference methods for aerodynamic problems governed by the Euler equations (1985) (229)
Experiments with implicit upwind methods for the Euler equations (1985) (227)
Towards the ultimate conservative difference scheme I. The quest of monotonicity (1973) (217)
Design of Optimally Smoothing Multi-Stage Schemes for the Euler Equations (1989) (190)
Discontinuous Galerkin for Diffusion (2005) (173)
Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes (2003) (158)
Splitting of inviscid fluxes for real gases (1990) (152)
Implicit flux-split schemes for the Euler equations (1985) (127)
A Discontinuous Galerkin Method for Diffusion Based on Recovery (2007) (116)
Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry (1990) (109)
High-order finite-volume methods for the shallow-water equations on the sphere (2010) (105)
A quasi-steady state solver for the stiff ordinary differential equations of reaction kinetics (2000) (99)
A simulation technique for 2-D unsteady inviscid flows around arbitrarily moving and deforming bodies of arbitrary geometry (1993) (97)
Use of a rotated Riemann solver for the two-dimensional Euler equations (1993) (93)
Preconditioning and the Limit to the Incompressible Flow Equations (1993) (92)
Block-Structured Adaptive Grids on the Sphere: Advection Experiments (2006) (79)
Sonic-point capturing (1989) (76)
Design of optimally smoothing multistage schemes for the Euler equations (1992) (71)
Upwind and high-resolution schemes (1997) (61)
Bilinear Forms for the Recovery-Based Discontinuous Galerkin Method for Diffusion (2007) (56)
Choice of implicit and explicit operators for the upwind differencing method (1988) (54)
Multigrid solution of the Euler equations with local preconditioning. (1997) (51)
Problems for Analysis (1989) (49)
Deformation and Drag Properties of Round Drops Subjected to Shock-Wave Disturbances (2003) (48)
An Implementation of a Grid-Independent Upwind Scheme for the Euler Equations (1989) (48)
Progress in local preconditioning of the Euler and Navier-Stokes equations (1993) (48)
Flux vector splitting and Runge-Kutta methods for the Euler equations (1985) (47)
Riemann-problem and level-set approaches for homentropic two-fluid flow computations (2002) (45)
Local Preconditioning: Manipulating Mother Nature to Fool Father Time (1998) (45)
Radiative effects in radiative shocks in shock tubes (2011) (44)
A multidimensional flux function with applications to the Euler and Navier-Stokes equations (1993) (42)
Optimal multistage schemes for Euler equations with residual smoothing (1995) (42)
Space-Time Methods for Hyperbolic Conservation Laws (1998) (39)
Implicit upwind methods for the Euler equations (1983) (39)
Numerical simulation of compressible Euler flows (1989) (37)
Preconditioning for the Navier-Stokes equations with finite-rate chemistry (1993) (36)
A genuinely multi-dimensional upwind cell-vertex scheme for the Euler equations (1989) (35)
Analysis and Implementation of (2009) (35)
Multidimensional explicit difference schemes for hyperbolic conservation laws (1985) (34)
Multi-stage schemes for the Euler and Navier-Stokes equations with optimal smoothing (1993) (34)
Progress in Multi-Dimensional Upwind Differencing (1993) (32)
Comment on “Modeling the magnetosphere for northward interplanetary magnetic field: Effects of electrical resistivity” by Joachim Raeder (2000) (31)
A historical oversight: Vladimir P. Kolgan and his high-resolution scheme (2011) (31)
PROPERTIES OF NONTURBULENT ROUND LIQUID JETS IN UNIFORM GASEOUS CROSS FLOWS (2005) (31)
A local Navier-Stokes preconditioner for all Mach and cell Reynolds numbers (1997) (30)
A grid-independent approximate Riemann solver with applications to the Euler and Navier-Stokes equations (1991) (27)
Application of the 10-Moment Model to MEMS Flows (2005) (26)
Unification of Discontinuous Galerkin Methods for Advection and Diffusion (2009) (25)
Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion (1969) (25)
Analysis and Implementation of Recovery-Based Discontinuous Galerkin for Diffusion (2009) (24)
Flux-Vector Splitting for the 1990s (1990) (20)
A Control-Volume Model of the Compressible Euler Equations with a Vertical Lagrangian Coordinate (2013) (19)
Recovery-Based Discontinuous Galerkin for Navier-Stokes Viscous Terms (2011) (19)
Effect of a multi-dimensional flux function on the monotonicity of Euler and Navier-Stokes computations (1991) (17)
A Three-Dimensional Recovery-Based Discontinuous Galerkin Method for Turbulence Simulations (2013) (17)
A General Theory of Local Preconditioning and Its Application to the 2D Ideal MHD Equations (2003) (16)
Computational fluid dynamics: science or toolbox? (2001) (14)
Optimal multigrid convergence by elliptic/hyperbolic splitting (2002) (13)
Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy (2021) (13)
High performance computer methods applied to predictive space weather simulations (2000) (12)
An Introduction to the Article “Reminiscences about Difference Schemes” by S. K. Godunov (1999) (12)
A Discontinuous Galerkin Method for Diusion Based on Recovery (2007) (12)
Computation of Flows with Moving Boundaries and Fluid-Structure Interactions (1997) (11)
Adaptive Grids for Weather and Climate Models (2004) (11)
On numerical dispersion by upwind differencing (1986) (11)
Steady Euler Solutions in O (N) Operations (2000) (11)
Local preconditioning of the euler equations : A characteristic interpretation (1999) (11)
Investigation of the Discontinuous Galerkin Method for First-Order PDE Approaches to CFD (2005) (10)
Godunov's Method for Gas-Dynamics (1997) (9)
CFD by first order PDEs (2009) (9)
Transport of gyration-dominated space plasmas of thermal origin 2: numerical solution (1993) (8)
In Search Of An Optimal Local Navier-Stokes Preconditioner (2003) (8)
Time-dependent corona models: a numerical method (1988) (8)
The Development of Numerical Fluid Mechanics and Aerodynamics since the 1960s: US and Canada (2009) (7)
The Computation of Steady Solutions to the Euler Equations: A Perspective (1989) (7)
An Analysis of the Upwind Moment Scheme and Its Extension to Systems of Nonlinear Hyperbolic-Relaxation Equations (2007) (7)
CFD education - Past, present, future (1999) (7)
A discontinuous Galerkin method with Hancock-type time integration for hyperbolic systems with stiff relaxation source terms (2009) (6)
A VENERABLE FAMILY OF DISCONTINUOUS GALERKIN SCHEMES FOR DIFFUSION REVISITED (2011) (6)
An Analysis of a Space-Time Discontinuous-Galerkin Method for Moment Equations and Its Solid-Boundary Treatment (2009) (6)
An implicit flux-split algorithm for the compressible Euler and Navier-Stokes equations (1986) (6)
Deformation and drag properties of round drops subjected to shock wave disturbances (2002) (6)
Multigrid Euler solutions with semi-coarsening and local preconditioning (1995) (5)
Identifying and Imposing Partial Equilibrium in Chemically Reacting Systems (2003) (4)
Adaptive grids for Atmospheric General Circulation Models: Test of the dynamical core (2004) (4)
Unsteady transonic cascade fow with in-passage shock wave (1990) (3)
An extension of the upwind moment scheme to systems of 1-D nonlinear hyperbolic-relaxation equations (2007) (3)
An Implicit Flux-Split Algorithm for the Compressible Navier-Stokes Equations (1987) (3)
Non-existence, non-uniqueness and slow convergence in discrete conservation laws (1988) (3)
Computational Methods for Fluid Flow (Roger Peyret and Thomas D. Taylor) (1986) (2)
Local Preconditioning of the Euler Equations and its Numerical Applications. (1993) (2)
Optimal Accuracy of Discontinuous Galerkin for Diffusion (2013) (2)
Multiscale Modeling Of Heliospheric Plasmas (1997) (2)
Grid-Refinement Study of Hypersonic Laminar Flow Over a 2-D Ramp (1991) (2)
Adaptive Grids in Climate Modeling: Concept and First Results (2003) (1)
A choice of different schemes for ideal compressible flow (1970) (1)
Solid-Boundary Treatment for Moment Equations (2011) (1)
High-velocity cloud collisions (1967) (1)
Mutigrid acceleration of the preconditioned euler and navier-stokes equations (1999) (1)
Euler computations of hypersonic flow with strong blowing (1990) (1)
Introduction to Computational Fluid Dynamics (2010) (1)
Numerical Methods in Fluid Dynamics: Initial and Initial Boundary-Value Problems (Gary A. Sod) (1988) (1)
Local Preconditioning: Who Needs It? (1998) (1)
A Parallel Workstation for Computational Fluid and Plasma Dynamics Research (2001) (0)
Efficient Explicit Integration Schemes for the Hyperbolized Navier-Stokes Equations (1997) (0)
THE RECOVERY-BASED DISCONTINUOUS GALERKIN METHOD FOR THE NAVIER – STOKES EQUATIONS (2013) (0)
A Numerical and Experimental Study of Arcjet Fluctuation (1999) (0)
Computational Fluid Mechanics and Heat Transfer (Dale A. Anderson, John C. Tannehill and Richard H. Pletcher) (1986) (0)
Sonic-point capturing. [shock wave structures in transonic nozzle flow] (1989) (0)
Optimal Accuracy of Discontinuous Galerkin for Diffusion Loc Khieu (2013) (0)
ICASE and the History of High-Resolution Schemes (1997) (0)
Explicit Integration Schemes for the Hyperbolized Navier-Stokes Equations (1997) (0)
Partial Equilibrium Methods for Simulations of Reacting-Flow (1999) (0)
A Space-Time Discontinuous Galerkin Method for Extended Hydrodynamics (2008) (0)
Deformation and drag properties of drops subjected to shock-wave and steady disturbances (2001) (0)
A Short Synthesis of the Contributions (1989) (0)
Computational fluid dynamics (MAS2.1) (1997) (0)
TO IMPROVE CONVERGENCE CHARACTERISTICS (1990) (0)
Multigrid Solution of the Euler Equationswith Local (2007) (0)
AIAA-2009-3786 Analysis and Implementation of Recovery-Based Discontinuous Galerkin for Diffusion 1 (2009) (0)
Three dimensional adaptive mesh refinement on a spherical shell for atmospheric models with lagrangian coordinates (2007) (0)
"A One-Sided View": the real story (2001) (0)
A 01-31039 Computational Fluid Dynamics : Science or Toolbox ? (2001) (0)
Discontinuous Galerkin for Navier-Stokes (2013) (0)
Local Scalable CFD Algorithms Based on First-Order PDE'S (2006) (0)
Local Preconditioning of the Equations of Magnetohydrodynamics and Its Numerical Applications (2003) (0)
Godunov's Method for Gas Dynamics: Current Applications and Future Development. A Symposium in Honor of S. K. Godunov (1998) (0)
Discussion of Accurate Calculation of Transport in Two Dimensions by Forrest M. Holly Jr. and Alexandre Preissmann (1978) (0)
Computation of unsteady euler flows with moving boundaries and fluid-structure interactions (1997) (0)
Development of an Atmospheric Climate Model with Self-Adapting Grid and Physics (2005) (0)
Adaptive Grids in Climate Modeling: Tests of the Dynamical Core (2003) (0)
Deformation of Laminar Round Liquid Jets in Uniform Fluid Crossflows (2000) (0)
Efficient Control-Volume Model of the Compressible Euler equations (2011) (0)

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