New numerical solver for flows at various Mach numbers

摘要: Context. Many problems in stellar astrophysics feature flows at low Mach numbers. Conventional compressible hydrodynamics schemes frequently used the field have been developed for transonic regime and exhibit excessive numerical dissipation these flows. Aims. While were proposed that solve strictly thus restrict their applicability, we aim developing a scheme correctly operates wide range of Methods. Based on an analysis asymptotic behavior Euler equations limit propose novel is able to maintain number flow setup while retaining all e ects compressibility. This achieved by suitable modification well-known Roe solver. Results. Numerical tests demonstrate capability this new reproduce slow structures even moderate resolution. Conclusions. Our provides promising approach consistent multidimensional hydrodynamical treatment astrophysical such as convection, instabilities, mixing evolution.