On Godunov-type methods for gas dynamics
SIAM Journal on Numerical Analysis
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Adaptive multiresolution schemes for shock computations
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I
SIAM Journal on Scientific Computing
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
High Resolution Schemes for Conservation Laws with Locally Varying Time Steps
SIAM Journal on Scientific Computing
Fully adaptive multiresolution finite volume schemes for conservation laws
Mathematics of Computation
A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
Journal of Computational Physics
A conservative fully adaptive multiresolution algorithm for parabolic PDEs
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
An interface interaction method for compressible multifluids
Journal of Computational Physics
Journal of Computational Physics
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
Journal of Computational Physics
Block structured adaptive mesh and time refinement for hybrid, hyperbolic+N-body systems
Journal of Computational Physics
An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
Journal of Computational Physics
On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
Wavelet-adaptive solvers on multi-core architectures for the simulation of complex systems
Concurrency and Computation: Practice & Experience - Euro-Par 2009
Computer Science - Research and Development
Scale separation for implicit large eddy simulation
Journal of Computational Physics
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
In this work, we present a block-based multi-resolution method coupled with a sharp interface model (MR-SIM) for the high-resolution simulation of multi-phase flows, where data structure and adaptive multi-resolution approach are tailored to achieve high computational efficiency. The method updates the dynamic topological data structure according to two separate procedures: (i) tracking of the interface position, and (ii) MR analysis on each individual phase. High efficiency is achieved by employing a storage-and-operation-splitting pyramid data structure, in which any two adjacent blocks partially overlap while the overlapping parts share the same data in memory. The non-overlapping data are distributed into fine-grained data packages and stored within a memory pool. The proposed narrow-band technique for the level-set-based interface method also increases the computational and memory efficiency greatly by restricting all interface-relevant data and operations to a neighborhood of the interface. A broad set of test simulations is carried out to demonstrate the potential and performance of the MR-SIM approach.