Multidimensional upwind methods for hyperbolic conservation laws

High-order monotonicity-preserving compact schemes for linear scalar advection on 2-D irregular meshes

Journal of Computational Physics

A genuinely multidimensional high-resolution scheme for the elastic-plastic wave equation

Journal of Computational Physics

A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing

Journal of Computational Physics

3D hybrid simulation code using curvilinear coordinates

Journal of Computational Physics

Finite volume evolution Galerkin methods for nonlinear hyperbolic systems

Journal of Computational Physics

Second-order sign-preserving conservative interpolation (remapping) on general grids

Journal of Computational Physics

Factorizable schemes for the equations of fluid flow

Applied Numerical Mathematics

An efficient linearity-and-bound-preserving remapping method

Journal of Computational Physics

An adaptive numerical scheme for high-speed reactive flow on overlapping grids

Journal of Computational Physics

High-order multi-implicit spectral deferred correction methods for problems of reactive flow

Journal of Computational Physics

A high-wavenumber viscosity for high-resolution numerical methods

Journal of Computational Physics

A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov

Journal of Computational Physics

Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics

Journal of Computational Physics

Second-order accurate volume-of-fluid algorithms for tracking material interfaces

Journal of Computational Physics

An arbitrary Lagrangian-Eulerian method with adaptive mesh refinement for the solution of the Euler equations

Journal of Computational Physics

ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions

Journal of Computational Physics

An unsplit, cell-centered Godunov method for ideal MHD

Journal of Computational Physics

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

A coupled quadrilateral grid level set projection method applied to ink jet simulation

Journal of Computational Physics

An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics

An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows

Journal of Computational Physics

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

Journal of Computational Physics

A Cartesian grid embedded boundary method for hyperbolic conservation laws

Journal of Computational Physics

The repair paradigm: New algorithms and applications to compressible flow

Journal of Computational Physics

A new conservative unsplit method for the solution of the Vlasov equation

Journal of Computational Physics

MUSTA Fluxes for systems of conservation laws

Journal of Computational Physics

Kinematic dynamos using constrained transport with high order Godunov schemes and adaptive mesh refinement

Journal of Computational Physics

A conservative interface method for compressible flows

Journal of Computational Physics

On the multidimensional gas-kinetic BGK scheme

Journal of Computational Physics

Two-phase viscoelastic jetting

Journal of Computational Physics

Well-balanced finite volume evolution Galerkin methods for the shallow water equations

Journal of Computational Physics

Robustness of MUSCL schemes for 2D unstructured meshes

Journal of Computational Physics

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

Journal of Computational Physics

A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations

Journal of Computational Physics

A Conservative Front Tracking Method in N-Dimensions

Journal of Scientific Computing

A modified higher order Godunov's scheme for stiff source conservative hydrodynamics

Journal of Computational Physics

The streamline subgrid integration method: I. Quasi-monotonic second-order transport schemes

Journal of Computational Physics

Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations

Journal of Computational Physics

A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers

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

An unsplit Godunov method for ideal MHD via constrained transport in three dimensions

Journal of Computational Physics

A high order accurate conservative remapping method on staggered meshes

Applied Numerical Mathematics

Object-Oriented Implementation of Adaptive Mesh Refinement Algorithms

Scientific Programming - The First Annual Object-Oriented Numerics Conference (OON-SKI '93)

A geometrical predictor-corrector advection scheme and its application to the volume fraction function

Journal of Computational Physics

An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Journal of Computational Physics

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

Journal of Computational Physics

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

Modeling material responses by arbitrary Lagrangian Eulerian formulation and adaptive mesh refinement method

Journal of Computational Physics

An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws

Journal of Computational Physics

Comparison of refinement criteria for structured adaptive mesh refinement

Journal of Computational and Applied Mathematics

Monoslope and multislope MUSCL methods for unstructured meshes

Journal of Computational Physics

Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids

Journal of Computational and Applied Mathematics

A hybrid Godunov method for radiation hydrodynamics

Journal of Computational Physics

Higher Order Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids

SIAM Journal on Scientific Computing

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations

Journal of Computational Physics

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods

Journal of Computational Physics

Multi-science applications with single codebase - GAMER - for massively parallel architectures

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis

Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

SIAM Journal on Numerical Analysis

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

SIAM Journal on Scientific Computing

Multi-dimensional limiting for high-order schemes including turbulence and combustion

Journal of Computational Physics

An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids

Mathematical and Computer Modelling: An International Journal

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Journal of Computational Physics

A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Journal of Computational Physics

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

Journal of Computational Physics

Directional Diffusion Regulator (DDR) for some numerical solvers of hyperbolic conservation laws

Journal of Computational Physics

Directionally unsplit hydrodynamic schemes with hybrid MPI/OpenMP/GPU parallelization in AMR

International Journal of High Performance Computing Applications

Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control

Computers & Mathematics with Applications

A conservative multi-tracer transport scheme for spectral-element spherical grids

Journal of Computational Physics

A numerical method for two-phase flows of dense granular mixtures

Journal of Computational Physics

An immersed boundary method for two-fluid mixtures

Journal of Computational Physics

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Journal of Computational Physics