Cartesian and Adaptive Methods for Complex Geometries

Abstract

Two major efforts are in progress this year. The first is on-going development of solution adaptive mesh refinement for use with Cartesian embedded boundary meshes, the second effort is developing numerical methods for time dependent flows, including moving geometrics. This includes on-going work in collaboration with Scott Murman at NASA Ames, using a dual time stepping approach that builds on our previous research developing a steady state flow solver. In a new collaboration with Christiane Helzel, postdoctoral student at the Courant Institute. We are trying to more fully understand the accuracy and stability issues of irregular grids, and develop explicit finite volume schemes that use time steps based on the full cell volumes.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2002
Accession Number
ADA419002

Entities

People

  • Marsha J. Berger

Organizations

  • New York University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Boundaries
  • Computational Fluid Dynamics
  • Computations
  • Errors
  • Euler Equations
  • Fluid Dynamics
  • Geometry
  • Grids
  • High Resolution
  • New York
  • Physics Laboratories
  • Relative Motion
  • Steady State
  • Students
  • Teamwork

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Research Science/Academic Research