Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators

Abstract

Hybrid Eulerian-Lagrangian semi-implicit time-integrators (HELSI) are presented which use the standard semi-implicit formulation as their starting point. The advantage of such an approach is that existing models which employ Eulerian semi-implicit time-integrators can easily be augmented to use the HELSI approach, that is, provided that either: a series of advection problems can be solved efficiently as in the operator-integration-factor splitting (OIFS) method or that the grid and underlying numerics allow the construction of efficient search and interpolation stencils typically required of semi-Lagrangian methods. Once the advection problem is solved the approach then follows the standard semi-implicit approach. An important caveat of this approach is that the semi-implicit time-integrator must be constructed around the implicit backward difference formulas.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA507939

Entities

People

  • Francis X. Giraldo

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Advection
  • Approximation (Mathematics)
  • Availability
  • Classification
  • Computers
  • Construction
  • Contracts
  • Information Operations
  • Instructions
  • Integrators
  • Interpolation
  • Mathematics
  • Military Research
  • Monitoring
  • Standards

Fields of Study

  • Mathematics

Readers

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