A method of adaptive mesh is proposed and simulation of strong explosion radiation hydrodynamics based on Euler method is carried out. To demonstrate feasibility of the approach, comparisons with Zinn's numerical results are made. It shows that profiles of over-pressure and visible output power with adaptive mesh is close to those with uniform mesh with three times grid number. Meanwhile, the time consumed decrease to 1/8.5. It shows that the adaptive mesh method is feasible in high-precision numerical simulation and accuracy and efficiency are increased prominently.

We present conservatively remapping cell-centered variables from one mesh to another with second-order accuracy and boundary-preservation. It is generally applicable to any polyhedral source or target mesh. The algorithm consists of four parts:A least square based polynomial reconstruction of physical gradient; an octree-based fast donor-cell searing algorithm; a convex hull algorithm for intersection of polyhedrons and a modifying procedure for local bound preservation. The remapping scheme is scalable, second-order accurate and enjoys bound preservation property. Various benchmark problems demonstrate these properties. Numerical results show that it takes hundreds seconds to remap physical variables on tessellation with hundreds thousands to millions polyhedrons.