A simple parameter-free entropy correction for approximate Riemann solvers
نویسندگان
چکیده
منابع مشابه
A simple parameter-free entropy correction for approximate Riemann solvers
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 ...
متن کاملSemi-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 کاملVery simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers
In this paper, we propose new Euler flux functions for use in a finite-volume Euler/Navier–Stokes code, which are very simple, carbuncle-free, yet have an excellent boundary-layer-resolving capability, by combining two different Riemann solvers into one based on a rotated Riemann solver approach. We show that very economical Euler flux functions can be devised by combining the Roe solver (a ful...
متن کاملA 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 کاملHybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws
It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompositions. However, HLL-type methods offer greater flexibility to large systems of hyperbolic conservation laws because the eigenstructure of the flux Jacobian is not needed. We demonstrate in the present work that several HLL-type Riemann solvers are provably entropy stable. Further, we provide con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes Rendus Mécanique
سال: 2010
ISSN: 1631-0721
DOI: 10.1016/j.crme.2010.07.007