Finite Elements for Fluid Dynamics. Supercritical Design

Abstract

The mathematical modeling of a physical continum by a set of first- order partial differential equations is commonly redundant, i.e., it includes more equations than unknowns. A simple analysis gives the reduced set, which fully determines the field quantities satisfying appropriately prescribed initial and boundary conditions. An algebraic look at the system provides the appropriate choice for descretization, which is a necessary condition for solvability and stability. The same is tried for a number of variational representations of the field in terms of primitive variables. A few of the latter formulations are new. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1981
Accession Number
ADA108983

Entities

People

  • Nima Geffen
  • Sara Yaniv

Organizations

  • Tel Aviv University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analytic Functions
  • Applied Mathematics
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Electromagnetic Fields
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Formulas (Mathematics)
  • Mathematics
  • Mechanics
  • Partial Differential Equations
  • Physical Theories
  • Physics
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)