A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations

Finite difference schemes for incompressible flow based on local pressure boundary conditions

Journal of Computational Physics

Parallelization of an Adaptive Mesh Refinement Method for Low Mach Number Combustion

ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I

Radiation diffusion for multi-fluid Eulerian hydrodynamics with adaptive mesh refinement

Journal of Computational Physics

Enhancing scalability of parallel structured AMR calculations

ICS '03 Proceedings of the 17th annual international conference on Supercomputing

Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

Journal of Computational Physics

An overset-grid method for 3D unsteady incompressible flows

Journal of Computational Physics

Conservative multigrid methods for Cahn-Hilliard fluids

Journal of Computational Physics

Accurate and stable grid interfaces for finite volume methods

Applied Numerical Mathematics

Adaptive low Mach number simulations of nuclear flame microphysics

Journal of Computational Physics

Simulating water and smoke with an octree data structure

ACM SIGGRAPH 2004 Papers

Wave overtopping over a sea dike

Journal of Computational Physics

Adaptive Mesh Refinement in Titanium

IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Papers - Volume 01

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

Adaptive Mesh Refinement for Multiscale Nonequilibrium Physics

Computing in Science and Engineering

A continuous surface tension force formulation for diffuse-interface models

Journal of Computational Physics

Adaptive unstructured volume remeshing - I: The method

Journal of Computational Physics

A fourth-order accurate local refinement method for Poisson's equation

Journal of Computational Physics

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Journal of Scientific Computing

A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport

Journal of Computational Physics

A stencil adaptive algorithm for finite difference solution of incompressible viscous flows

Journal of Computational Physics

PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems

Journal of Computational Physics

Artificial compressibility, characteristics-based schemes for variable density, incompressible, multi-species flows. Part I. Derivation of different formulations and constant density limit

Journal of Computational Physics

Artificial compressibility, characteristics-based schemes for variable-density, incompressible, multispecies flows: Part II. Multigrid implementation and numerical tests

Journal of Computational Physics

Computing a null divergence velocity field using smoothed particle hydrodynamics

Journal of Computational Physics

A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids

Journal of Computational Physics

Adaptive mesh refinement for coupled elliptic-hyperbolic systems

Journal of Computational Physics

A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids

Journal of Computational Physics

Gauge-Uzawa methods for incompressible flows with variable density

Journal of Computational Physics

A sharp interface method for incompressible two-phase flows

Journal of Computational Physics

An adaptive, formally second order accurate version of the immersed boundary method

Journal of Computational Physics

A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids

Journal of Scientific Computing

A new algorithm for charge deposition for multiple-grid method for PIC simulations in r-z cylindrical coordinates

Journal of Computational Physics

Block structured adaptive mesh and time refinement for hybrid, hyperbolic+N-body systems

Journal of Computational Physics

A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions

Journal of Computational Physics

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Journal of Computational Physics

Adaptive solution techniques for simulating underwater explosions and implosions

Journal of Computational Physics

A multigroup diffusion solver using pseudo transient continuation for a radiation-hydrodynamic code with patch-based AMR

Journal of Computational Physics

An hybrid finite volume-finite element method for variable density incompressible flows

Journal of Computational Physics

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

Journal of Computational Physics

A hydrostatic/non-hydrostatic grid-switching strategy for computing high-frequency, high wave number motions embedded in geophysical flows

Environmental Modelling & Software

HyPAM: A hybrid continuum-particle model for incompressible free-surface flows

Journal of Computational Physics

Adaptive moment-of-fluid method

Journal of Computational Physics

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

Journal of Computational Physics

An accurate adaptive solver for surface-tension-driven interfacial flows

Journal of Computational Physics

A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate

Journal of Computational Physics

An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner

Journal of Computational Physics

A parallelized, adaptive algorithm for multiphase flows in general geometries

Computers and Structures

A stable and convergent scheme for viscoelastic flow in contraction channels

Journal of Computational Physics

A parallel solution - adaptive method for three-dimensional turbulent non-premixed combusting flows

Journal of Computational Physics

A conservative pressure-correction scheme for transient simulations of reacting flows

Journal of Computational and Applied Mathematics

A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems

Journal of Computational Physics

Nested Cartesian grid method in incompressible viscous fluid flow

Journal of Computational Physics

A high-order low-Mach number AMR construction for chemically reacting flows

Journal of Computational Physics

Cartesian refinement grid generation and numerical calculation of flows around Naca0012 airfoil

ASM'10 Proceedings of the 4th international conference on Applied mathematics, simulation, modelling

Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems

Journal of Computational Physics

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

SIAM Journal on Numerical Analysis

A Three-Dimensional, Unsplit Godunov Method for Scalar Conservation Laws

SIAM Journal on Scientific Computing

An adaptive two-dimensional mesh refinement method for the problems in fluid engineering

CIS'04 Proceedings of the First international conference on Computational and Information Science

Analysis and applications of the Voronoi Implicit Interface Method

Journal of Computational Physics

A hybrid level set-volume constraint method for incompressible two-phase flow

Journal of Computational Physics

A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids - Application to shape optimization

Journal of Computational Physics

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

Journal of Scientific Computing

A new fractional time-stepping method for variable density incompressible flows

Journal of Computational Physics

An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids

Journal of Computational Physics

A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system

Journal of Computational Physics

Multiphysics simulations: Challenges and opportunities

International Journal of High Performance Computing Applications