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Non-classical non-linear waves exist in dense gases for large specific heatsat pressures and temperatures of the order of critical point values. Thesewaves behave precisely opposite to the classical non-linear waves, withinverted classical waves like the expansion shocks which do not violate entropyconditions. More complex equation of state (EOS) other than the ideal orperfect EOS is typically used in describing dense gases. Algorithm developmentwith non-ideal/real gas EOS and application to dense gasses is gainingimportance from a numerical perspective. Extending the algorithms designed forperfect gas EOS to dense gas flows with arbitrary real gas EOS is non-trivial.Most of the algorithms designed for prefect gas EOS are modified significantlywhen applied to real gas EOS. These algorithms can become complicated and sometimes impossible based on the EOS under consideration. The objective of thepresent work is to develop central solvers with smart diffusion capabilitiesindependent of the eigenstructure and extendable to any arbitrary EOS. Eulerequations with van der Waals EOS along with two newly developed algorithms,Method of Optimal Viscosity for Enhanced resolution of shocks (MOVERS+) andRiemann Invariants based Contact capturing Algorithm (RICCA), are used tosimulate dense gasses over simple geometries. Various One Dimensional (1D) andTwo Dimensional (2D) benchmark test cases are validated using these algorithms,and the results are compared with the those obtained from the literature.

Central algorithms for accurately predicting non classical non-linear waves in Dense Gases over simple geometries