High-resolution conservative algorithms for advection in incompressible flow

A general-purpose finite-volume advection scheme for continuous and discontinuous fields on unstructured grids

Journal of Computational Physics

A hybrid particle level set method for improved interface capturing

Journal of Computational Physics

A positive numerical scheme for a mixed-type partial differential equation model for fungal growth

Applied Mathematics and Computation

An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions

Journal of Computational Physics

A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows

Journal of Computational Physics

A geometrical area-preserving volume-of-fluid advection method

Journal of Computational Physics

A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking

Journal of Computational Physics

High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter

Journal of Computational Physics

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

Journal of Computational Physics

A wave propagation algorithm for hyperbolic systems on curved manifolds

Journal of Computational Physics

A Lagrangian particle level set method

Journal of Computational Physics

Hierarchical RLE level set: A compact and versatile deformable surface representation

ACM Transactions on Graphics (TOG)

A quadrature-free discontinuous Galerkin method for the level set equation

Journal of Computational Physics

Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets

Journal of Scientific Computing

A wave propagation method for hyperbolic systems on the sphere

Journal of Computational Physics

Multiscale simulations for suspensions of rod-like molecules

Journal of Computational Physics

A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows

Journal of Computational Physics

On a practical implementation of particle methods

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)

Fast Surface Segmentation Guided by User Input Using Implicit Extension of Minimal Paths

Journal of Mathematical Imaging and Vision

An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids

Journal of Computational Physics

On the design of general-purpose flux limiters for finite element schemes. I. Scalar convection

Journal of Computational Physics

Maintaining the point correspondence in the level set framework

Journal of Computational Physics

Explicit solutions to a convection-reaction equation and defects of numerical schemes

Journal of Computational Physics

Sharp interface tracking using the phase-field equation

Journal of Computational Physics

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Journal of Computational Physics

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

Computing

A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma

Journal of Computational Physics

Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry

Journal of Computational Physics

Out-of-core and compressed level set methods

ACM Transactions on Graphics (TOG)

Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm

Journal of Computational Physics

A new interface tracking method: The polygonal area mapping method

Journal of Computational Physics

Selective monotonicity preservation in scalar advection

Journal of Computational Physics

On the numerical solution of a driven thin film equation

Journal of Computational Physics

Flow simulations using particles: bridging computer graphics and CFD

ACM SIGGRAPH 2008 classes

A Numerical Method for Free-Surface Flows and Its Application to Droplet Impact on a Thin Liquid Layer

Journal of Scientific Computing

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

Journal of Computational Physics

A spectrally refined interface approach for simulating multiphase flows

Journal of Computational Physics

Explicit and implicit FEM-FCT algorithms with flux linearization

Journal of Computational Physics

A grid based particle method for moving interface problems

Journal of Computational Physics

A grid based particle method for evolution of open curves and surfaces

Journal of Computational Physics

Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids

Journal of Computational Physics

A fast and accurate semi-Lagrangian particle level set method

Computers and Structures

A self-adaptive oriented particles Level-Set method for tracking interfaces

Journal of Computational Physics

A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods

Journal of Computational and Applied Mathematics

A gradient-augmented level set method with an optimally local, coherent advection scheme

Journal of Computational Physics

A lattice Boltzmann approach for free-surface-flow simulations on non-uniform block-structured grids

Computers & Mathematics with Applications

Multiresolution simulations using particles

VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science

A class of deformational flow test cases for linear transport problems on the sphere

Journal of Computational Physics

A flux-form version of the conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed sphere grid

Journal of Computational Physics

Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow

Journal of Computational Physics

Nonlinear fluid---structure interaction problem. Part II: space discretization, implementation aspects, nested parallelization and application examples

Computational Mechanics

A high-order finite volume method for systems of conservation laws-Multi-dimensional Optimal Order Detection (MOOD)

Journal of Computational Physics

A cell center finite volume model for 2D numerical simulation of deposition-erosion and transport of suspended sediment in free surface flows

ACMOS'07 Proceedings of the 9th WSEAS international conference on Automatic control, modelling and simulation

Edge flips and deforming surface meshes

Proceedings of the twenty-seventh annual symposium on Computational geometry

Short Note: Revisit to the THINC scheme: A simple algebraic VOF algorithm

Journal of Computational Physics

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

Journal of Computational Physics

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system

Journal of Computational Physics

Accurate, non-oscillatory, remeshing schemes for particle methods

Journal of Computational Physics

A Second-Order Strong Method for the Langevin Equations with Holonomic Constraints

SIAM Journal on Scientific Computing

Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations

SIAM Journal on Numerical Analysis

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

SIAM Journal on Scientific Computing

Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems

SIAM Journal on Numerical Analysis

On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations

Journal of Computational Physics

An interface capturing method with a continuous function: The THINC method with multi-dimensional reconstruction

Journal of Computational Physics

Out-of-Core Computations of High-Resolution Level Sets by Means of Code Transformation

Journal of Scientific Computing

Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes

Journal of Computational and Applied Mathematics

A new implicit method for surface segmentation by minimal paths: applications in 3D medical images

EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition

An Eulerian-Lagrangian WENO finite volume scheme for advection problems

Journal of Computational Physics

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes

Journal of Computational Physics

Variant quantifier elimination

Journal of Symbolic Computation

Flux-limiting techniques for simulation of pollutant transport in porous media: Application to groundwater management

Mathematical and Computer Modelling: An International Journal

Modelling of hydrodispersive processes in the fissured media by flux limiters schemes (Chalk aquifer, France)

Mathematical and Computer Modelling: An International Journal

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids

Journal of Computational Physics

Optimization-Based modeling with applications to transport: part 3. computational studies

LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing

Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

Journal of Computational Physics

A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method

Journal of Computational Physics

Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation

Journal of Computational Physics

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

Journal of Scientific Computing

A semi-Lagrangian AMR scheme for 2D transport problems in conservation form

Journal of Computational Physics

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

Journal of Computational Physics

VDB: High-resolution sparse volumes with dynamic topology

ACM Transactions on Graphics (TOG)

An oriented particle level set method based on surface coordinates

Journal of Computational Physics

Optimization-based remap and transport: A divide and conquer strategy for feature-preserving discretizations

Journal of Computational Physics

Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods

Journal of Computational Physics

A gradient augmented level set method for unstructured grids

Journal of Computational Physics

Short note: An interface capturing method with a continuous function: The THINC method on unstructured triangular and tetrahedral meshes

Journal of Computational Physics

A level set two-way wave equation approach for Eulerian interface tracking

Journal of Computational Physics

A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach

Journal of Scientific Computing

Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems

Computing