[หนังสือ][B] Numerical approximation of hyperbolic systems of conservation laws

E Godlewski, PA Raviart - 2013 - books.google.com
This work is devoted to the theory and approximation of nonlinear hyper bolic systems of
conservation laws in one or two space variables. It follows directly a previous publication on …

Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

C Parés - SIAM Journal on Numerical Analysis, 2006 - SIAM
The goal of this paper is to provide a theoretical framework allowing one to extend some
general concepts related to the numerical approximation of 1-d conservation laws to the …

Well-balanced schemes and path-conservative numerical methods

MJ Castro, TM de Luna, C Parés - Handbook of numerical analysis, 2017 - Elsevier
In this chapter we describe a general methodology for develo** high-order well-balanced
schemes for hyperbolic system with nonconservative products and/or source terms. We …

A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms

L Gosse - Mathematical Models and Methods in Applied …, 2001 - World Scientific
The aim of this paper is to present a new kind of numerical processing for hyperbolic
systems of conservation laws with source terms. This is achieved by means of a non …

A sequel to a rough Godunov scheme: application to real gases

T Buffard, T Gallouët, JM Hérard - Computers & fluids, 2000 - Elsevier
We present here an approximate Riemann solver to compute Euler equations using real gas
state laws. The scheme is based on an earlier proposition, called VFRoe, introduced by one …

Godunov method for nonconservative hyperbolic systems

ML Muñoz-Ruiz, C Parés - ESAIM: Mathematical Modelling and …, 2007 - cambridge.org
This paper is concerned with the numerical approximation of Cauchy problems for one-
dimensional nonconservative hyperbolic systems. The theory developed by Dal Maso et …

On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws

ML Muñoz-Ruiz, C Parés - Journal of Scientific Computing, 2011 - Springer
This paper deals with the numerical approximation of one-dimensional hyperbolic systems
of balance laws. We consider these systems as a particular case of hyperbolic systems in …

[HTML][HTML] Modélisation et simulation numérique des écoulements diphasiques par une approche bifluide à deux pressions

V Guillemaud - 2007 - hal.science
Dans ce mémoire, on s' intéresse à la simulation des écoulements liquide-vapeur en
transition de phase. Pour décrire ces écoulements, une approche bifluide moyennée à deux …

Relaxation schemes for the multicomponent Euler system

S Dellacherie - ESAIM: Mathematical Modelling and Numerical …, 2003 - cambridge.org
We show that it is possible to construct a class of entropic schemes for the multicomponent
Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium …

Algebraic cycles and topology of real Enriques surfaces

F Mangolte, J Van Hamel - Compositio Mathematica, 1998 - cambridge.org
For a real Enriques surfaceY we prove that every homology class inH1 (Y (R); Z= 2) can be
represented by a real algebraic curve if and only if all connected components of Y (R) are …