A 3D Unstructured Mesh Euler Solver Based on the Fourth-Order CESE Method

Abstract

In this paper, the CESE method is extended and employed to construct a fourth-order, three-dimensional, unstructured-mesh solver for hyperbolic Partial Differential Equations (PDEs). This new CESE method retains all favorable attributes of the original second-order CESE method, including: (i) flux conservation in space and time without using a one-dimensional Riemann solver, (ii) genuinely multi-dimensional treatment without dimensional splitting (iii) the CFL constraint remains to be less than or equal to 1, and (iv) the use of a compact mesh stencil involving only the immediate neighboring nodes surrounding the node where the solution is sought. Two validation cases are presented. First higher order convergence is demonstrated by the linear advection equation. Second supersonic flow over a spherical body is simulated to demonstrates the schemes ability to accurately resolve discontinuities.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2013
Accession Number
ADA598064

Entities

People

  • David L. Bilyeu
  • Jean-luc Cambier
  • S. J. Yu

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Advection
  • Aeronautics
  • Air Force
  • Air Force Research Laboratories
  • Astronautics
  • Blunt Bodies
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Differential Equations
  • Discontinuities
  • Equations
  • Flow
  • Geometry
  • Supersonic Flow
  • Three Dimensional
  • Time Domain

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Hypersonics
  • Space