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The paper studies the physical-constraints-preserving (PCP) schemes formulti-dimensional special relativistic magnetohydrodynamics with a generalequation of state (EOS) on more general meshes. It is an extension of the work[Math. Models Methods Appl. Sci., 27:1871-1928, 2017] which focuses on theideal EOS and uniform Cartesian meshes. The general EOS without a specialexpression poses some additional difficulties in discussing the mathematicalproperties of admissible state set with the physical constraints on the fluidvelocity, density and pressure. Rigorous analyses are provided for the PCPproperty of finite volume or discontinuous Galerkin schemes with theLax-Friedrichs (LxF) type flux on a general mesh with non-self-intersectingpolytopes. Those are built on a more general form of generalized LxF splittingproperty and a different convex decomposition technique. It is shown in theorythat the PCP property is closely connected with a discrete divergence-freecondition, which is proposed on the general mesh and milder than that in [Math.Models Methods Appl. Sci., 27:1871-1928, 2017].

On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state