Abstract
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
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References
Gauger, C., Leinen, P., Yserentant, H.: The finite mass method. SIAM J. Numer.Anal. 37 (2000),1768–1799
Klingler, M., Leinen, P., Yserentant, H.: work in preparation
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Yserentant, H: The propagation of sound in particle models of compressible fluids. Numer. Math. (2000), DOI 10.1007/s002110000231
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Yserentant, H. (2002). The Finite Mass Method — A New Approach to the Solution of Flow Problems. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_17
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DOI: https://doi.org/10.1007/978-3-642-55919-8_17
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