Klein-Gordon Equation with Advection on Unbounded Domains Using Spectral Elements and High-Order Non-Reflecting Boundary Conditions

Abstract

A reduced shallow water model under constant, non-zero advection in the infinite channel is considered. High-order (Givoli-Neta) non-reflecting boundary conditions are introduced in various configurations to create a finite computational space and solved using a spectral element formulation with high-order time integration. Numerical examples are used to demonstrate the synergy of using high-order spatial, time, and boundary discretization. We show that by balancing all numerical errors involved, high-order accuracy can be achieved for unbounded domain problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA558866

Entities

People

  • Beny Neta
  • Francis Giraldo
  • Joseph M. Lindquist

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Applied Mathematics
  • Boundaries
  • Computations
  • Convergence
  • Dispersions
  • Equations
  • Errors
  • Finite Element Analysis
  • Galerkin Method
  • Mathematics
  • Reflection
  • Shallow Water
  • Two Dimensional
  • Water
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space