A semi-Lagrangian high-order method for Navier-Stokes equations

A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations

Journal of Scientific Computing

A forward-trajectory global semi-Lagrangian transport scheme

Journal of Computational Physics

A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations

Journal of Computational Physics

Nonlinear operator integration factor splitting for the shallow water equations

Applied Numerical Mathematics

Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows

Journal of Scientific Computing

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

Journal of Computational Physics

Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators

Computers & Mathematics with Applications

Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier-Stokes equations

Journal of Computational Physics

An efficient algorithm for characteristic tracking on two-dimensional triangular meshes

Computing

A second order accurate level set method on non-graded adaptive cartesian grids

Journal of Computational Physics

A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases

Journal of Computational Physics

Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations

Journal of Computational Physics

Smoothed profile method for particulate flows: Error analysis and simulations

Journal of Computational Physics

A velocity decomposition approach for moving interfaces in viscous fluids

Journal of Computational Physics

Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems

Journal of Scientific Computing

An efficient fluid-solid coupling algorithm for single-phase flows

Journal of Computational Physics

Nonlinear operator integration factor splitting for the shallow water equations

Applied Numerical Mathematics

Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

Journal of Computational Physics

New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches

Applied Numerical Mathematics

An unconditionally stable rotational velocity-correction scheme for incompressible flows

Journal of Computational Physics

Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems

Journal of Computational Physics

A level set projection model of lipid vesicles in general flows

Journal of Computational Physics

Error Analysis for hp-FEM Semi-Lagrangian Second Order BDF Method for Convection-Dominated Diffusion Problems

Journal of Scientific Computing

A local level-set method using a hash table data structure

Journal of Computational Physics

Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier---Stokes problems

Numerical Algorithms

Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions

Journal of Computational Physics

A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation

Journal of Computational Physics

Short note: A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme

Journal of Computational Physics

Partially implicit motion of a sharp interface in Navier-Stokes flow

Journal of Computational Physics

Fast 3D flow simulations of a waterjet propulsion system

GCMS '09 Proceedings of the 2009 Grand Challenges in Modeling & Simulation Conference

A level set approach for diffusion and Stefan-type problems with Robin boundary conditions on quadtree/octree adaptive Cartesian grids

Journal of Computational Physics

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Journal of Scientific Computing

3DFLUX: A high-order fully three-dimensional flux integral solver for the scalar transport equation

Journal of Computational Physics

On Adaptive Eulerian---Lagrangian Method for Linear Convection---Diffusion Problems

Journal of Scientific Computing