A simple parameter-free entropy correction for approximate Riemann solvers

نویسندگان

  • Philippe Helluy
  • Jean-Marc Hérard
  • Hélène Mathis
  • Siegfried Müller
چکیده

We present here a simple and general non-parametrized entropy-fix for the computation of fluid flows involving sonic points in rarefaction waves. It enables to improve the stability and the accuracy of approximate Riemann solvers. It is also applied to MHD flows. To cite this article: Author, C. R. Mecanique xxx (2009). Résumé Une correction entropique non paramétrique simple pour les solveurs de Riemann approchés On présente dans cette note une correction entropique non paramétrique simple et générale pour la simulation d’écoulements de fluides comportant des points soniques en zone de détente. Celle-ci permet d’accroı̂tre la stabilité et la précision de solveurs de Riemann approchés. Cette correction est aussi appliquée aux équations de la MHD idéale. Pour citer cet article : Auteur, C. R. Mecanique xxx (2009).

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Semi-discrete Entropy Satisfying Approximate Riemann Solvers. The Case of the Suliciu Relaxation Approximation

In this work we establish conditions for an approximate simple Riemann solver to satisfy a semi-discrete entropy inequality. The semi-discrete approach is less restrictive than the fully-discrete case and allows to grant some other good properties for numerical schemes. First, conditions are established in an abstract framework for simple Riemann solvers to satisfy a semi-discrete entropy inequ...

متن کامل

An approximate solution of the Riemann problem for a realisable second-moment turbulent closure

An approximate solution of the Riemann problem associated with a realisable and objective turbulent second-moment closure, which is valid for compressible flows, is examined. The main features of the continuous model are first recalled. An entropy inequality is exhibited, and the structure of waves associated with the non-conservative hyperbolic convective system is briefly described. Using a l...

متن کامل

A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes

We show that a simple relaxation scheme of the type proposed by Jin and Xin Comm. Pure Appl. Math. 48(1995) pp. 235{276] can be reinterpreted as deening a particular approximate Riemann solver for the original system of m conservation laws. Based on this observation, a more general class of approximate Riemann solvers is proposed which allows as many as 2m waves in the resulting solution. These...

متن کامل

A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

We present a relaxation system for ideal MHD that is an extension of the Suliciu relaxation system for the Euler equations of gas dynamics. From it one can derive approximate Riemann solvers with three or seven waves, that generalize the HLLC solver for gas dynamics. Under some subcharacteristic conditions, the solvers satisfy discrete entropy inequalities, and preserve positivity of density an...

متن کامل

Entropy Analysis of Kinetic Flux Vector Splitting Schemes for the Compressible Euler Equations

Flux Vector Splitting (FVS) scheme is one group of approximate Riemann solvers for the compressible Euler equations. In this paper, the discretized entropy condition of the Kinetic Flux Vector Splitting (KFVS) scheme based on the gas-kinetic theory is proved. The proof of the entropy condition involves the entropy definition difference between the distinguishable and indistinguishable particles.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010