Multigrid for Hypersonic Inviscid Flows

Abstract

We consider the use of multigrid methods to solve the Euler equations for hypersonic flow. We consider the steady state equations with a Runge-Kutta smoother based on the time accurate equations together with local time stepping and residual smoothing. We examine the effect of the Runge-Kutta coefficients on the convergence rate considering both damping characteristics and convection properties. We also show the importance of boundary conditions on the convergence rate for hypersonic flow. Also of importance of boundary conditions on the convergence rate for hypersonic flow. Also of importance are the switch between the second and fourth difference viscosity. Solutions are given for flow around a bump in a channel and flow around a biconic section. (Author) (kr)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1990
Accession Number
ADA227106

Entities

People

  • Eli Turkel
  • Naomi H. Decker

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Advection
  • Boundaries
  • Bow Shock
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Frequency
  • Grids
  • Interpolation
  • Mach Number
  • Steady State
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight