A minimum entropy principle in the compressible multicomponent Euler equations

Abstract

In this work, the space of admissible entropy functions for the compressible multicomponent Euler equations is explored, following up on Harten (J. Comput. Phys. 49 (1983) 151–164). This effort allows us to prove a minimum entropy principle on entropy solutions, whether smooth or discrete, in the same way it was originally demonstrated for the compressible Euler equations by Tadmor (Appl. Numer. Math. 49 (1986) 211–219).

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 12, 2020
Source ID
10.1051/m2an/2019070

Entities

People

  • Ayoub Gouasmi
  • Eitan Tadmor
  • Karthik Duraisamy
  • Scott M. Murman

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation
  • Office of Naval Research

Tags

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space