Front Tracking and Two Dimensional Riemann Problems: A Conference Report.

Abstract

A substantial improvement in resolution has been achieved for the computation of jump discontinuities in gas dynamics using the method of front tracking. The essential feature of this method is that a lower dimensional grid is fitted to and follows the discontinuous waves. At the intersection points of the discontinuities, two-dimensional Riemann problems occur. In this paper we studied such two-dimensional Riemann problems from both numerical and theoretical points of view. Specifically included is a numerical solution for the Mach reflection, a general classification scheme for two-dimensional elementary waves, and a discussion of problems and conjectures in this area. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004936

Entities

People

  • B. Plohr
  • Christian Klingenberg
  • D.J. Sharp
  • J. Glimm
  • O. Mcbryan

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Cauchy Problem
  • Classification
  • Computations
  • Discontinuities
  • Dynamics
  • Gas Dynamics
  • Geometry
  • Mathematical Analysis
  • Mathematics
  • Physics
  • Reflection
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Theoretical Analysis.