Abstract
We have presented a new type of algorithm: the coupled pressure and temperature correction algorithm. The essential idea is the separation of the convective phenomenon on the one side, and the acoustic/thermodynamic phenomenon on the other side. Based on a theoretical analysis, the algorithm was constructed so that Mach-uniform accuracy and efficiency are obtained, which was confirmed by the test results. Especially the removal of the acoustic and diffusive time step limits is an important feature. When the special case of a perfect gas without heat transfer is considered, the algorithm reduces to a fully segregated method with a pressure-correction equation based on the energy equation.
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