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A projection method for low speed flows. (English) Zbl 0935.76056
Summary: We propose a decomposition applicable to low speed, inviscid flows of all Mach numbers less than 1. By using the Hodge decomposition, we may write the velocity field as the sum of a divergence-free vector field and a gradient of a scalar function. Evolution equations for these parts are presented. A numerical procedure based on this decomposition is designed, using projection methods for solving the incompressible variables, and a backward-Euler method for solving the potential variables. Numerical experiments illustrate our algorithm. \(\copyright\) Academic Press.

76M20 Finite difference methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
Full Text: DOI
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