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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.

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