Hyperbolic Reconstructed-Discontinuous-Galerkin Method for Accurate Unsteady Viscous Simulations on Unstructured Grids

Abstract

Milestone 1: Upon completion of the first three tasks, we will have a Hyp-rDG method to solve scalar convection-diffusion equation on hybrid grids. The performance of the Hyp-rDG method will be assessed in comparison with conventional methods. The advantages of the Hyp-rDG method will be demonstrated for a mode lconvection-diffusion equation by (1) convergence acceleration, at least, in diffusion dominated cases and (2) high order and high-quality derivative prediction on highly irregular grids. Successful demonstration will greatly encourage the extension to the compressible NS equations. --- COMPLETED in YEAR 1 as planned.

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Document Details

Document Type
Technical Report
Publication Date
Nov 16, 2019
Accession Number
AD1097146

Entities

People

  • Hiroaki Nishikawa

Organizations

  • National Institute of Aerospace

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Compressible Flow
  • Computational Fluid Dynamics
  • Delta Wings
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Free Stream
  • Galerkin Method
  • Laminar Flow
  • Mach Number
  • Navier Stokes Equations
  • Reynolds Number
  • Simulations
  • Steady State
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Defense Acquisition Program Management
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geochemistry