Riemann solvers and pressure gradients in Godunov-type schemes for variable density incompressible flows
Shannon Leakey,
Vassilis Glenis,
Caspar J. M. Hewett
Abstract:Variable density incompressible flows are governed by parabolic equations. The artificial compressibility method makes these equations hyperbolic-type, which means that they can be solved using techniques developed for compressible flows, such as Godunov-type schemes.While the artificial compressibility method is well-established, its application to variable density flows has been largely neglected in the literature. This paper harnesses recent advances in the wider field by applying a more robust Riemann solv… Show more
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