Coupled Problems

  • Hans Petter Langtangen
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 2)


This chapter deals with two specific examples on systems of PDEs concerning fluid-structure interaction and coupled heat and fluid flow. The exposition includes derivation of the PDEs, precise description of the numerical solution algorithms, and software design principles based on object-oriented programming and Diffpack tools. Contrary to Chapters 5 and 6, where vector PDEs were in main focus, we now address systems of PDEs where the different equations reflect different fundamental physical principles. Each scalar equation in the PDE system then has a life on its own. For example, the system treated in Chapter 7.2 consists of a momentum equation and an energy equation. From an implementational point of view, it would be advantagous to realize the compound solver for the system of PDEs as a simple combination of well-tested stand-alone solvers for the various scalar PDEs in the system. We shall pursue this idea in the present chapter.


Nonlinear Algebraic Equation Straight Pipe Menu Item Squeeze Film Successive Substitution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Hans Petter Langtangen
    • 1
  1. 1.Mechanics Division, Department of MathematicsUniversity of OsloOsloNorway

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