A total energy-based adaptive mesh refinement technique for the simulation of compressible flow

Adaptive Mesh Refinement for Global Magnetohydrodynamic Simulation

The first part of this paper reviews some physics issues representing major computational challenges for global MHD models of the space environment. These issues include: (i) mathematical formulation and discretization of the governing equations that ensure the proper jump conditions and propagation speeds, (ii) regions of relativistic Alfvén speed, (iii) regions dominated by strong intrinsic p...

A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows

This paper presents a hybrid finite-difference/weighted essentially non-oscillatory (WENO) method for large-eddy simulation of compressible flows with low-numerical dissipation schemes and structured adaptive mesh refinement (SAMR). A conservative flux-based approach is described, encompassing the cases of scheme alternation and internal mesh interfaces resulting from SAMR. An explicit centered...

An Adaptive Mesh Refinement Algorithm for Compressible Two-Phase Flow In Porous Media

We describe a second-order accurate sequential algorithm for solving two-phase multicomponent flow in porous media. The algorithm incorporates an unsplit second-order Godunov scheme that provides accurate resolution of sharp fronts. The method is implemented within a block structured mesh refinement framework that allows grids to dynamically adapt to features of the flow and enables efficient p...

An adaptive mesh refinement technique for dynamics of solids

Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations

We present a detailed comparison between two adaptive numerical approaches to solve partial differential equations, adaptive multiresolution (MR) and adaptive mesh refinement (AMR). Both discretizations are based on finite volumes in space with second order shock-capturing and explicit time integration either with or without local time stepping. The two methods are benchmarked for the compressi...