Accurate projection methods for the incompressible Navier—Stokes equations

Analysis of an exact fractional step method

Journal of Computational Physics

Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method

Journal of Computational Physics

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

Journal of Computational Physics

A note on the use of central schemes for incompressible Navier-Stokes flows

Journal of Computational Physics

A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains

Journal of Computational Physics

A new class of truly consistent splitting schemes for incompressible flows

Journal of Computational Physics

Conservative multigrid methods for Cahn-Hilliard fluids

Journal of Computational Physics

Semi-implicit projection methods for incompressible flow based on spectral deferred corrections

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

Journal of Computational Physics

A class of fully second order accurate projection methods for solving the incompressible Navier-Stokes equations

Journal of Computational Physics

High order accurate solution of the incompressible Navier-Stokes equations

Journal of Computational Physics

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

A 2D compact fourth-order projection decomposition method

Journal of Computational Physics

A windowing method for periodic inflow/outflow boundary treatment of non-periodic 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

Adaptive unstructured volume remeshing - II: Application to two- and three-dimensional level-set simulations of multiphase flow

Journal of Computational Physics

A second-order method for three-dimensional particle simulation

Journal of Computational Physics

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Journal of Scientific Computing

Algebraic fractional-step schemes with spectral methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

A second-order boundary-fitted projection method for free-surface flow computations

Journal of Computational Physics

Meshless schemes for unsteady Navier-Stokes equations in vorticity formulation using radial basis functions

Journal of Computational and Applied Mathematics

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

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

Runge-Kutta-Chebyshev projection method

Journal of Computational Physics

An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries

Journal of Computational Physics

A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change

Journal of Computational Physics

Unconditionally stable discretizations of the immersed boundary equations

Journal of Computational Physics

A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids

Journal of Computational Physics

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

Journal of Computational Physics

Metachronal wave formation in a model of pulmonary cilia

Computers and Structures

The immersed boundary method: A projection approach

Journal of Computational Physics

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

Journal of Computational Physics

A segregated implicit pressure projection method for incompressible flows

Journal of Computational Physics

Error estimate of a first-order time discretization scheme for the geodynamo equations

Journal of Computational and Applied Mathematics

An immersed boundary method for interfacial flows with insoluble surfactant

Journal of Computational Physics

An implicit technique for solving 3D low Reynolds number moving free surface flows

Journal of Computational Physics

Effect of particle inertia on the dynamics of depositional particulate density currents

Computers & Geosciences

A gauge finite element method for the 2D Navier--Stokes problem

Applied Numerical Mathematics

An efficient semi-implicit immersed boundary method for the Navier-Stokes equations

Journal of Computational Physics

Level set methods for optimization problems involving geometry and constraints II. Optimization over a fixed surface

Journal of Computational Physics

An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane

Journal of Computational Physics

Modelling microscale flow and colloid transport in saturated porous media

International Journal of Computational Fluid Dynamics - Mesoscopic Methods And Their Applications To CFD

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

Journal of Computational Physics

A high-order incompressible flow solver with WENO

Journal of Computational Physics

A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains

Journal of Computational Physics

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

Journal of Computational Physics

A high-resolution code for turbulent boundary layers

Journal of Computational Physics

A numerical algorithm for viscous incompressible interfacial 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

An implicit immersed boundary method for three-dimensional fluid-membrane interactions

Journal of Computational Physics

On the accuracy of direct forcing immersed boundary methods with projection methods

Journal of Computational Physics

A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations

Journal of Scientific Computing

Stable and accurate pressure approximation for unsteady incompressible viscous flow

Journal of Computational Physics

Three-dimensional microscale flow simulation and colloid transport modeling in saturated soil porous media

Computers & Mathematics with Applications

Large deformation of liquid capsules enclosed by thin shells immersed in the fluid

Journal of Computational Physics

The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement

Journal of Computational Physics

An unconditionally stable rotational velocity-correction scheme for incompressible flows

Journal of Computational Physics

Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids

Journal of Computational Physics

An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid

Journal of Computational Physics

A front-tracking method with Catmull-Clark subdivision surfaces for studying liquid capsules enclosed by thin shells in shear flow

Journal of Computational Physics

A level set projection model of lipid vesicles in general flows

Journal of Computational Physics

An efficient method for solving highly anisotropic elliptic equations

Journal of Computational Physics

An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary

Journal of Computational Physics

A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics

Journal of Computational Physics

Stable and Spectrally Accurate Schemes for the Navier-Stokes Equations

SIAM Journal on Scientific Computing

A gradient stable scheme for a phase field model for the moving contact line problem

Journal of Computational Physics

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

Journal of Computational Physics

Applications of level set methods in computational biophysics

Mathematical and Computer Modelling: An International Journal

A level-set continuum method for two-phase flows with insoluble surfactant

Journal of Computational Physics

A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation

SIAM Journal on Scientific Computing

A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme

Journal of Computational Physics

A coarse-grid projection method for accelerating incompressible flow computations

Journal of Computational Physics

Symbolic-numeric implementation of the method of collocations and least squares for 3d navier--stokes equations

CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing

Adaptive mesh refinement techniques for the immersed interface method applied to flow problems

Computers and Structures

A novel concept for the design of immersed interface methods

Journal of Computational Physics

A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies

Journal of Computational Physics

The projection method for the incompressible Navier-Stokes equations: The pressure near a no-slip wall

Journal of Computational Physics