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Título del libro: Numerical Modeling Of Coupled Phenomena In Science And Engineering: Practical Use And Examples
Título del capítulo: Trefftz-herrera collocation method: Numerical modeling of combustion fronts in porous media

Autores UNAM:
MARTIN ALBERTO DIAZ VIERA; ISMAEL HERRERA REVILLA;
Autores externos:

Idioma:
Inglés
Año de publicación:
2008
Resumen:

This chapter shows the application of the Trefftz-Herrera collocation method [1-3] to obtain the numerical solution of nonstandard boundary value problems with prescribed jumps (BVPJ) which arise when the systematic modeling approach for continuum systems is applied to model the dynamics of combustion fronts in porous media [4]. Up to now, collocation has been applied by means of splines. However, a broader and more efficient formulation is obtained when collocation is applied using fully discontinuous functions by means of the indirect (or Trefftz-Herrera) methodology. The Trefftz-Herrera approach is a very general theory of domain decomposition methods (DDM), proposed by Herrera [5] and stemming from Trefftz method. When the Trefftz-Herrera approach is applied in combination with orthogonal collocation, it produces a family of non-standard collocation methods known as ?indirect collocation? or ?TH-collocation methods?. © 2008 by Taylor & Francis Group, LLC.


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