Applications of Sharp Interface Method for Flow Dynamics, Scattering and Control Problems

Abstract

Our effort has been continued for developing and analyzing high order methods for the interface problems. Specifically, we have developed an adaptive mesh refinement for the Immersed Boundary and the Immersed Interface Method using the level set method for elliptic interface problems, the sensitivity calculation with respect to the parameter and shape for flow past obstacle and multi-moment immersed interface method for wave equation and Hamilton-Jacobi equation. Our approach uses the physical augmented variables and the domain embedding technique and allows us to develop fast and robust implementation of the immersed interface method for general interface problems.

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Document Details

Document Type
Technical Report
Publication Date
Jul 30, 2012
Accession Number
ADA576983

Entities

People

  • Kazufumi Ito
  • Zhilin Li

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boltzmann Equation
  • Boundaries
  • Coefficients
  • Difference Equations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Mathematics
  • Navier Stokes Equations
  • North Carolina
  • Partial Differential Equations
  • Reynolds Number
  • Scattering
  • Wave Equations

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)