The Finite Mass Method — A New Approach to the Solution of Flow Problems

  • H. Yserentant
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 21)


The finite mass method, a new Lagrangian method for the numerical simulation of gas flows, is presented. In contrast to the finite volume and the finite element method, the finite mass method is founded on a discretization of mass, not of space. Mass is subdivided into small mass packets of finite extension each of which is equipped with finitely many internal degrees of freedom. These mass packets move under the influence of internal and external forces and the laws of thermodynamics and can undergo arbitrary linear deformations. The basic reference is Gauger, Leinen, and Yserentant, SIAM J. Numer. Anal. 37 (2000), pp. 1768-1799. In the present note, a short survey is given


Velocity Field Mass Density Frictional Force Smooth Particle Hydrodynamic Compressible Fluid 
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  1. 1.
    Gauger, C., Leinen, P., Yserentant, H.: The finite mass method. SIAM J. Numer.Anal. 37 (2000),1768–1799MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Klingler, M., Leinen, P., Yserentant, H.: work in preparationGoogle Scholar
  3. 3.
    Yserentant, H.: A particle model of compressible fluids. Numer. Math. 76 (1997), 111–142MathSciNetCrossRefGoogle Scholar
  4. 4.
    Yserentant, H.: Entropy generation and shock resolution in the particle model of compressible fluids. Numer. Math. 82 (1999), 161–177MathSciNetzbMATHCrossRefGoogle Scholar
  5. 5.
    Yserentant, H: The propagation of sound in particle models of compressible fluids. Numer. Math. (2000), DOI 10.1007/s002110000231Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • H. Yserentant
    • 1
  1. 1.Mathematisches InstitutUniversität TübingenTübingenGermany

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