Characteristic-Galerkin and Galerkin/Least-Squares Space-Time Formulations for the Advection-Diffusion Equation with Time-Dependent Domains

Abstract

For the advection-diffusion equation, the characteristic-Galerkin formulations are obtained by temporal discretization of the total derivative. These formulations, by construction, are Eulerian-Lagrangian, and therefore can handle time-dependent domains without difficulty. The Galerkin/least-squares space-time formulation, on the other hand, is written over the space-time domain of a problem, and therefore can handle time-dependent domains with no implementational difficulty. The purpose of this paper is to compare these two formulations based on error estimates and numerical performance, in the context of the advection-diffusion equation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA271693

Entities

People

  • J. Liou
  • O. Pironneau
  • T. Tezduyar

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Advection
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convection
  • Differential Equations
  • Diffusion
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Galerkin Method
  • Linear Systems
  • Mechanics
  • Navier Stokes Equations
  • Time Domain

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space