A MOOD-like compact high order finite volume scheme with adaptive mesh refinement

In this paper, a novel Finite Volume (FV) scheme for obtaining high order approximations of solutions multi-dimensional hyperbolic systems conservation laws within an Adaptive Mesh Refinement framework is proposed. It based on point-wise polynomial reconstruction that avoids the recalculation stencils and matrices whenever mesh refined or coarsened. also couples both limiting FV refinement procedure, taking advantage Multi-dimensional Optimal Order Detection (MOOD) detection criteria. The resulting computational procedure employed to simulate test cases increasing difficulty using two models Partial Differential Equations: Euler system radiative M1 model, thus demonstrating its efficiency.