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- Publications
- Influence

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

- P. Roe
- Mathematics
- 1 August 1997

Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in… Expand

Regular Article: A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics

- K. Powell, P. Roe, T. Linde, T. Gombosi, D. D. Zeeuw
- Mathematics
- 20 September 1999

This paper presents a computational scheme for compressible magnetohydrodynamics (MHD). The scheme is based on the same elements that make up many modern compressible gas dynamics codes: a… Expand

On Godunov-type methods near low densities

- B. Einfeldt, C. Munz, P. Roe, B. Sjögreen
- Mathematics
- 2 January 1991

Abstract When the energy of a flow is largely kinetic, many conservative differencing schemes may fail by predicting non-physical states with negative density or internal energy. We describe as… Expand

CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONS

- P. Roe
- Physics
- 1986

P. L. RoeCollege of Aeronautics, Cranfield Institute of Technology,Cranfield MK43 0AL, EnglandIntroductionComputer simulations of fluid flow provide today the sort of detailedinformation concerning… Expand

Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks

In this paper, an entropy-consistent flux is developed, continuing from the work of the previous paper. To achieve entropy consistency, a second and third-order differential terms are added to the… Expand

High Order Fluctuation Schemes on Triangular Meshes

- R. Abgrall, P. Roe
- Computer Science, Mathematics
- J. Sci. Comput.
- 1 December 2003

We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have… Expand

Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics

- P. Roe
- Mathematics
- 1 April 1986

This paper explores a possible technique for extending to multidimensional flows some of the upwind-differencing methods that have proved highly successful in the one-dimensional case. Attention here… Expand

A Well-Behaved TVD Limiter for High-Resolution Calculations of Unsteady Flow

A total variation diminishing (TVD) limiter is proposed that attempts to maximize performance given that the inherent limitation of TVD formulations is peak loss. For the scalar advection and… Expand