An Unsteady Preconditioning Scheme Based on Convective-Upwind Split-Pressure (CUSP) Artificial Dissipation

Abstract

Obtaining accurate computational results for unsteady low-Mach number flows presents significant challenges for numerical schemes. In this work, we present a novel preconditioning scheme designed to provide good conditioning for these flows for all Strouhal numbers. The scheme is based on the convective-upwind split-pressure (CUSP) scheme which naturally facilitates the proper scaling of velocity and pressure dissipation terms for unsteady low-Mach number flows. Unlike traditional matrix dissipation schemes, the preconditioned CUSP formulation provides scalar-like efficiency and simplicity. Several test cases are presented for steady, unsteady, convection-dominated, and acoustic- dominated flows that demonstrate significant improvements in accuracy and convergence rate over traditional preconditioning schemes for a wide range of flow conditions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 07, 2014
Accession Number
ADA617736

Entities

People

  • Aaron Katz
  • David Folkner
  • Venke Sankaran

Organizations

  • Utah State University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Back Pressure
  • Boundary Layer
  • Computational Fluid Dynamics
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Free Stream
  • Frequency
  • Mach Number
  • Stagnation Point
  • Steady Flow
  • Steady State
  • Stratified Fluids
  • Strouhal Number
  • Unsteady Flow

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Marine Hydrodynamics