Summary
An approach to compute flows over the whole Mach number range is proposed. Pressure is used as a dependent variable, and the derivation exploits the fact that the divergence-free constraint on the velocity field for incompressible flow derives from the energy equation. In the compressible regime, the implicit elliptic equation transforms into an explicit hyperbolic equation, leading to the common formulation used in compressible codes. The method strictly respects the strong conservation form, and reliable shock capturing is established by the use of a proven approximate Riemann solver for flux computation.
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© 2004 Springer-Verlag Berlin Heidelberg
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Rossow, CC. (2004). Flow Computation at All Speeds. In: Breitsamter, C., Laschka, B., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics IV. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39604-8_45
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DOI: https://doi.org/10.1007/978-3-540-39604-8_45
Publisher Name: Springer, Berlin, Heidelberg
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