A projection method for locally refined grids

A smoothness indicator for adaptive algorithms for hyperbolic systems

Journal of Computational Physics

A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles

Journal of Computational Physics

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

Journal of Computational Physics

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

On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems

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

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

Journal of Computational Physics

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

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

Adaptive solution techniques for simulating underwater explosions and implosions

Journal of Computational Physics

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

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

Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach

Journal of Scientific Computing

A parallelized, adaptive algorithm for multiphase flows in general geometries

Computers and Structures

Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number

Journal of Computational Physics

Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems

Journal of Computational Physics

Nested Cartesian grid method in incompressible viscous fluid flow

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

Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces

Journal of Computational Physics