High-Order Residual-Distribution Hyperbolic Advection-Diffusion Schemes: 3rd-, 4th-, and 6th-Order

Abstract

In this paper, spatially high-order Residual-Distribution (RD) schemes using the first-order hyperbolic system method are proposed for general time-dependent advection-diffusion problems. The corresponding second-order time-dependent hyperbolic advection-diffusion scheme was first introduced in [NASA/TM-2014-218175, 2014], where rapid convergences over each physical time step, with typically less than five Newton iterations, were shown. In that method, the time-dependent hyperbolic advection-diffusion system (linear and nonlinear) was discretized by the second-order upwind RD scheme in a unified manner, and the system of implicit-residual-equations was solved efficiently by Newton s method over every physical time step.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2014
Accession Number
ADA618448

Entities

People

  • Alireza Mazaheri
  • Hiroaki Nishikawa

Organizations

  • National Institute of Aerospace

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Astronautics
  • Boundary Layer
  • Computational Fluid Dynamics
  • Equations
  • Error Analysis
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Fluids
  • Linear Systems
  • Navier Stokes Equations
  • Physics Laboratories
  • Reynolds Number
  • Steady State
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Operations Research