Bram van Leer

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All published works

Action	Title	Year	Authors
+	History of CFD Part II: The poster	2024	Bram van Leer
+ PDF Chat	Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy	2021	Bram van Leer Hiroaki Nishikawa
+ PDF Chat	Solid-boundary treatment for moment equations	2011	Loc H. Khieu Bram van Leer
+	A VENERABLE FAMILY OF DISCONTINUOUS GALERKIN SCHEMES FOR DIFFUSION REVISITED	2011	Bram van Leer Marcus Lo Rita Gitik Shohei Nomura
+	A historical oversight: Vladimir P. Kolgan and his high-resolution scheme	2010	Bram van Leer
+ PDF Chat	Introduction to Computational Fluid Dynamics	2010	Bram van Leer Kenneth G. Powell
+	A control-volume model of the compressible Euler equations with vertical Lagrangian Coordinate	2010	X. Chen Bram van Leer N. G. Andronova Suzhen Lin Joyce E. Penner
+	CFD by first order PDEs	2009	Yoshifumi Suzuki Loc H. Khieu Bram van Leer
+ PDF Chat	An Analysis of a Space-Time Discontinuous-Galerkin Method for Moment Equations and Its Solid-Boundary Treatment	2009	Loc H. Khieu Yoshifumi Suzuki Bram van Leer
+	A discontinuous Galerkin method with Hancock-type time integration for hyperbolic systems with stiff relaxation source terms	2009	Yoshifumi Suzuki Bram van Leer
+ PDF Chat	An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations	2007	Yoshifumi Suzuki Bram van Leer
+ PDF Chat	An Analysis of the Upwind Moment Scheme and Its Extension to Systems of Nonlinear Hyperbolic-Relaxation Equations	2007	Yoshifumi Suzuki Bram van Leer
+	Application of the 10-Moment Model to MEMS Flows	2006	Yoshifumi Suzuki Shintaro Yamamoto Bram van Leer Quanhua Sun Iain D. Boyd
+ PDF Chat	Investigation of the Discontinuous Galerkin Method for First-Order PDE Approaches to CFD	2005	J. Hittinger Yoshifumi Suzuki Bram van Leer
+ PDF Chat	Discontinuous Galerkin for Diffusion	2005	Bram van Leer Shohei Nomura
+ PDF Chat	Application of the 10-Moment Model to MEMS Flows	2005	Yoshifumi Suzuki Bram van Leer
+	THE NUMERICAL SIMULATION OF VARIABLE-PROPERTY REACTING-GAS DYNAMICS: NEW INSIGHTS AND VALIDATION	2004	Christopher Depcik Bram van Leer Dennis N. Assanis
+	Book Reviews	2003	Bram van Leer
+	Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes	2003	Bram van Leer
+ PDF Chat	A General Theory of Local Preconditioning and Its Application to 2D Ideal MHD Equations	2003	Hiroaki Nishikawa Philip L. Roe Yoshifumi Suzuki Bram van Leer
+ PDF Chat	In Search of an Optimal Local Navier-Stokes Preconditioner	2003	Christopher Depcik Bram van Leer
+	Deformation and drag properties of drops subjected to shock-wave and steady disturbances	2001	Christian Aalburg Bram van Leer Gerard M. Faeth
+	A Parallel Workstation for Computational Fluid and Plasma Dynamics Research	2001	Kenneth G. Powell Bram van Leer Philip L. Roe T. I. Gombosi
+	Computational fluid dynamics: science or toolbox?	2001	Bram van Leer
+	Partial Equilibrium Methods for Simulations of Reacting-Flow	1999	David R. Mott Elaine S. Oran Bram van Leer
+	An Introduction to the Article “Reminiscences about Difference Schemes” by S. K. Godunov	1999	Bram van Leer
+	Integrators for Stiff ODEs in Simulations of Reacting Flows	1998	David R. Mott Elaine S. Oran Bram van Leer
+	Local Preconditioning: Who Needs It?	1998	Bram van Leer
+	Towards the Ultimate Conservative Difference Scheme	1997	Bram van Leer
+	Godunov's Method for Gas-Dynamics: Current Applications and Future Developments	1997	Bram van Leer
+	Multiscale Modeling Of Heliospheric Plasmas	1997	T. I. Gombosi Kenneth G. Powell Quentin F. Stout Edward S. Davidson Darren L. De Zeeuw L. A. Fisk C. P. T. Groth T. Linde Harold G. Marshall Philip L. Roe
+	Multigrid solution of the euler equations with local preconditioning	1997	John F. Lynn Bram van Leer Do‐Hyung Lee
+	A Comparative Study of Computational Methods in Cosmic Gas Dynamics	1997	G.D. van Albada Bram van Leer William W. Roberts
+	ICASE and the History of High-Resolution Schemes	1997	Bram van Leer
+	Improving Euler computations at low Mach numbers	1997	Barry Koren Bram van Leer
+	On The Relation Between The Upwind-Differencing Schemes Of Godunov, Engquist—Osher and Roe	1997	Bram van Leer
+	On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws	1997	Amiram Harten Peter D. Lax Bram van Leer
+	Flux-Vector Splitting for the Euler Equation	1997	Bram van Leer
+ PDF Chat	Analysis of preconditioning and multigrid for Euler flows with low-subsonic regions	1995	B. Koren Bram van Leer
+ PDF Chat	Optimal multistage schemes for Euler equations with residual smoothing	1995	Chang‐Hsien Tai Jiann-Hwa Sheu Bram van Leer
+	Multigrid Euler solutions with semi-coarsening and local preconditioning	1995	John F. Lynn Bram van Leer
+ PDF Chat	Use of a rotated Riemann solver for the two-dimensional Euler equations	1993	David Levy Kenneth G. Powell Bram van Leer
+ PDF Chat	Preconditioning for the Navier-Stokes equations with finite-rate chemistry	1993	Andrew Godfrey Robert W. Walters Bram van Leer
+ PDF Chat	Multi-stage schemes for the Euler and Navier-Stokes equations with optimal smoothing	1993	John F. Lynn Bram van Leer
+ PDF Chat	Characteristic time-stepping or local preconditioning of the Euler equations	1991	Bram van Leer Wen‐Tzong Lee Philip L. Roe
+ PDF Chat	Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry	1990	Jian-Shun Shuen Meng‐Sing Liou Bram van Leer
+ PDF Chat	Unsteady transonic cascade fow with in-passage shock wave	1990	Cheng Li A. F. Messiter Bram van Leer
+ PDF Chat	Implicit flux-split schemes for the Euler equations	1990	James L. Thomas Bram van Leer Robert W. Walters
+ PDF Chat	Splitting of inviscid fluxes for real gases	1990	Meng‐Sing Liou Bram van Leer Jian-Shun Shuen
+ PDF Chat	Implicit flux-split schemes for the Euler equations	1990	James L. Thomas Bram van Leer Robert W. Walters
+ PDF Chat	Euler computations of hypersonic flow with strong blowing	1990	Nelson Carter Bram van Leer
+	Numerical Simulation of Compressible Euler Flows	1989	Alain Dervieux Bram van Leer Jacques Périaux Arthur Rizzi
+	Implicit Finite-Volume Algorithms for the Flux-Split Euler Equations	1989	James L. Thomas Robert W. Walters Bram van Leer W. Kyle Anderson
+	Non-existence, non-uniqueness and slow convergence in discrete conservation laws	1988	Philip L. Roe Bram van Leer
+ PDF Chat	Choice of implicit and explicit operators for the upwind differencing method	1988	Meng‐Sing Liou Bram van Leer
+	An Implicit Flux-Split Algorithm for the Compressible Navier-Stokes Equations	1987	James L. Thomas Robert W. Walters Bram van Leer Christopher L. Rumsey
+	Comparison of finite volume flux vector splittings for the Euler equations	1986	W. Kyle Anderson James L. Thomas Bram van Leer
+	An implicit flux-split algorithm for the compressible Euler and Navier-Stokes equations	1986	Robert W. Walters James L. Thomas Bram van Leer
+ PDF Chat	Implicit flux-split schemes for the Euler equations	1985	James L. Thomas Robert Walters Bram van Leer
+	Multidimensional explicit difference schemes for hyperbolic conservation laws	1985	Bram van Leer
+	Experiments with implicit upwind methods for the Euler equations	1985	W. A. Mulder Bram van Leer
+	A comparison of finite volume flux vector splittings for the Euler equations	1985	W. Kyle Anderson James L. Thomas Bram van Leer
+	Upwind-difference methods for aerodynamic problems governed by the Euler equations	1985	Bram van Leer
+	Multidimensional explicit difference schemes for hyperbolic conservation laws	1984	Bram van Leer
+	Implicit upwind methods for the Euler equations	1983	W. A. Mulder Bram van Leer
+	On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws	1983	Amiram Harten Peter D. Lax Bram van Leer
+	Flux-vector splitting for the Euler equations	1982	Bram van Leer
+	Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method	1979	Bram van Leer
+	Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow	1977	Bram van Leer
+	Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme	1974	Bram van Leer
+	Towards the ultimate conservative difference scheme I. The quest of monotonicity	1973	Bram van Leer
+	Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion	1969	Bram van Leer

Common Coauthors

Coauthor	Papers Together
Yoshifumi Suzuki	8
James L. Thomas	8
Robert W. Walters	6
Philip L. Roe	5
Kenneth G. Powell	4
Meng‐Sing Liou	3
W. Kyle Anderson	3
Loc H. Khieu	3
John F. Lynn	3
Shohei Nomura	2
Hiroaki Nishikawa	2
T. I. Gombosi	2
W. A. Mulder	2
Jian-Shun Shuen	2
Amiram Harten	2
Christopher Depcik	2
David R. Mott	2
Elaine S. Oran	2
Peter D. Lax	2
Suzhen Lin	1
C. P. T. Groth	1
X. Chen	1
Marcus Lo	1
Arthur Rizzi	1
B. Koren	1
Wen‐Tzong Lee	1
Rita Gitik	1
Nelson Carter	1
Quanhua Sun	1
Harold G. Marshall	1
Chang‐Hsien Tai	1
Yoshifumi Suzuki	1
Jacques Périaux	1
Gerard M. Faeth	1
William W. Roberts	1
Shintaro Yamamoto	1
N. G. Andronova	1
Andrew Godfrey	1
Jiann-Hwa Sheu	1
Christopher L. Rumsey	1
Barry Koren	1
Dennis N. Assanis	1
Do‐Hyung Lee	1
T. Linde	1
Edward S. Davidson	1
J. Hittinger	1
Iain D. Boyd	1
L. A. Fisk	1
Robert Walters	1
Christian Aalburg	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Approximate Riemann solvers, parameter vectors, and difference schemes	1981	Philip L. Roe	17
+	On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws	1983	Amiram Harten Peter D. Lax Bram van Leer	15
+	Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method	1979	Bram van Leer	14
+	Finite difference methods for numerical computation of discontinous solutions of the equations of fluid dynamics	1959	С. К. Годунов	13
+	Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes	1997	Philip L. Roe	11
+	Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow	1977	Bram van Leer	10
+	Flux-vector splitting for the Euler equations	1982	Bram van Leer	9
+	A Comparative Study of Computational Methods in Cosmic Gas Dynamics	1997	G.D. van Albada Bram van Leer William W. Roberts	9
+	Towards the Ultimate Conservative Difference Scheme	1997	Bram van Leer	8
+	<i>Difference Methods for Initial-Value Problems</i>	1959	Robert D. Richtmyer E. H. Dill	7
+ PDF Chat	Systems of conservation laws	1960	Peter D. Lax Burton Wendroff	7
+	Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works	1973	Jay P. Boris David Book	7
+ PDF Chat	Characteristic time-stepping or local preconditioning of the Euler equations	1991	BRAM VA Wen‐Tzong Lee Philip L. Roe	6
+	Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme	1974	Bram van Leer	6
+	Comparison of finite volume flux vector splittings for the Euler equations	1986	W. Kyle Anderson James L. Thomas Bram van Leer	6
+	Numerical solution of a 10-moment model for nonequilibrium gasdynamics	1995	Sandy Brown Philip L. Roe C Groth	6
+ PDF Chat	Implicit flux-split schemes for the Euler equations	1985	James L. Thomas Robert Walters Bram van Leer	6
+	Difference Methods for Initial-Value Problems	1968	E. I. Robert D. Richtmyer K. W. Morton	6
+	Foundations for the generalization of the Godunov method to hyperbolic systems with stiff relaxation source terms.	2000	J. Hittinger	6
+	On the solution of nonlinear hyperbolic differential equations by finite differences	1952	Richard Courant Eugene Isaacson Mina Rees	6
+	Towards the ultimate conservative difference scheme I. The quest of monotonicity	1973	Bram van Leer	5
+ PDF Chat	Methods for hyperbolic systems with stiff relaxation	2002	Robert B. Lowrie Jim E. Morel	5
+ PDF Chat	Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation	2005	Lorenzo Pareschi Giovanni Russo	5
+ PDF Chat	Upwind difference schemes for hyperbolic systems of conservation laws	1982	Stanley Osher Fred Solomon	5
+	Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes	2003	Bram van Leer	5
+	Flux-corrected transport II: Generalizations of the method	1975	David Book J. P. Boris K. Hain	5
+	Moment closure hierarchies for kinetic theories	1996	C. David Levermore	5
+ PDF Chat	Investigation of the Discontinuous Galerkin Method for First-Order PDE Approaches to CFD	2005	J. Hittinger Yoshifumi Suzuki Bram van Leer	4
+	Difference methods for the inviscid and viscous equations of a compressible gas	1967	Ephraim L. Rubin S. Z. Burstein	4
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	4
+	Central Schemes for Balance Laws of Relaxation Type	2000	S.F. Liotta Vittorio Romano Giovanni Russo	4
+	Upwind-difference methods for aerodynamic problems governed by the Euler equations	1985	Bram van Leer	4
+	Approximate Riemann solvers for moment models of dilute gases.	1996	Shawn Lee Brown	4
+ PDF Chat	Preconditioned methods for solving the incompressible and low speed compressible equations	1987	Eli Turkel	4
+	A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws	1981	Amiram Harten Peter D. Lax	4
+	An Implicit Factored Scheme for the Compressible Navier-Stokes Equations	1978	Richard M. Beam R. F. Warming	4
+	An Upwind Moment Scheme for Conservation Laws	2006	H. T. Huynh	4
+	A Direct Simulation Method for Subsonic, Microscale Gas Flows	2002	Quanhua Sun Iain D. Boyd	3
+	The use of the Riemann problem in finite difference schemes	1989	Philip L. Roe	3
+	On the kinetic theory of rarefied gases	1949	Harold Grad	3
+	Weak solutions of nonlinear hyperbolic equations and their numerical computation	1954	Peter D. Lax	3
+ PDF Chat	Discontinuous Galerkin Methods for Extended Hydrodynamics.	2008	Yoshifumi Suzuki	3
+ PDF Chat	A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws	1978	Gary A. Sod	3
+	Solutions in the large for nonlinear hyperbolic systems of equations	1965	James Glimm	3
+	Supersonic Flow and Shock Waves	1976	Richard Courant Kurt Friedrichs	3
+	Characteristic-Based Schemes for the Euler Equations	1986	Philip L. Roe	3
+	Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations	1999	Shi Jin	3
+	The λ-scheme	1979	Gino Moretti	3
+ PDF Chat	Multi-stage schemes for the Euler and Navier-Stokes equations with optimal smoothing	1993	John F. Lynn BRAM VA	3
+ PDF Chat	Hyperbolic conservation laws with relaxation	1987	Tai-Ping Liu	3