
VOFTools
 Referenced in 38 articles
[sw16494]
 well known that volume of fluid (VOF) methods in three dimensions, especially those based ... propose, for general grids and threedimensional Cartesian geometry, simple and efficient geometrical tools ... that typically arise in VOF methods, and an analytical method for local volume enforcement ... results obtained for different tests and grid types show that the proposed analytical method...

CartGen
 Referenced in 5 articles
[sw00107]
 efficient and easy to implement method to generate Cartesian grids is presented. The presented method ... kinds of Cartesian grids such as uniform, octree and embedded boundary grids. It supports ... variation of grid size along each spatial direction as well as anisotropic and nongraded ... main benefits of the presented method in contrast to the alternative methods. Regarding octree grid...

IBAMR
 Referenced in 11 articles
[sw12603]
 immersed boundary (IB) method with support for Cartesian grid adaptive mesh refinement (AMR). Support...

Vofi
 Referenced in 6 articles
[sw32957]
 defined fluid interfaces in Cartesian grids with cubic cells. The method enlists a number...

AHFinderDirect
 Referenced in 29 articles
[sw04972]
 Cartesiancoordinate spatial derivatives of g ij . I discretize S 2 using six angular patches ... angular grid points) by Newton’s method, using a `symbolic differentiation’ technique to compute...

EULAIR
 Referenced in 2 articles
[sw00250]
 EULAIR: a novel finiteelementbased Cartesian grid Euler flow solver that does not require ... method for the solution of compressible flows, using Cartesian grids (CGs). A unique feature that...

ESES
 Referenced in 4 articles
[sw26786]
 Cartesian grid based SES calculation were done to validate the present method and show...

TABI
 Referenced in 29 articles
[sw18194]
 linear PoissonBoltzmann equation. The method employs a wellconditioned boundary integral formulation ... vector product is carried out by a Cartesian treecode which reduces the cost from ... TABI results with those obtained using the gridbased APBS code, and we also present...

PetIBM
 Referenced in 1 article
[sw28950]
 stretched Cartesian grids using a projection approach. Currently, two immersed boundary methods are implemented: Immersed...

ForestClaw
 Referenced in 11 articles
[sw19374]
 overlapping, logically Cartesian grids stored as leaves in a quadtree. Dynamic grid refinement and parallel ... partitioning of the grids is done through the use of the highly scalable quadtree/octree library ... corner and edge ghost regions around each grid hold valid values. We have implemented this ... grid solvers from ClawPack, a software package for solving hyperbolic PDEs using finite volumes methods...

DINOSOARS
 Referenced in 7 articles
[sw24972]
 direct boundary immersed boundary method (DBIBM) has been implemented, allowing a description of arbitrary ... geometries on a fixed, but possibly refined, Cartesian mesh. A direct force IBM is implemented ... larger than the Kolmogorov scale) on the grid. Particles below the Kolmogorov scale are treated...

MAESTRO
 Referenced in 12 articles
[sw11176]
 phenomena are highly subsonic, requiring specialized numerical methods suitable for longtime integration ... primary difference between MAESTRO and other structured grid AMR approaches for incompressible and low Mach ... dimensional base state and the Cartesian grid, as well as a number of overall improvements...

DISPATCH
 Referenced in 2 articles
[sw41952]
 cell (PIC) methods. Tasks do not have to be gridbased, while tasks that ... either Cartesian or orthogonal curvilinear meshes. Patches may be stationary or moving. Mesh refinement...

CPIC
 Referenced in 5 articles
[sw18104]
 plasma with the PIC method, coupled with an adaptive computational grid that can conform ... logical space, where the grid is uniform and Cartesian. In CPIC, most of the operations...

ASAM
 Referenced in 3 articles
[sw19925]
 include obstacles and orography into the Cartesian grid. Discretization is realized by a mixture ... shifting and interpolation techniques are outlined. The method can be generalized to any other orthogonal...

FLUSEPA
 Referenced in 1 article
[sw20791]
 High order finite volume scheme and conservative grid overlapping technique for complex industrial applications ... Godunov’s type unstructured finite volume method suitable for highly compressible turbulent scaleresolving simulations ... complex geometries and general nonCartesian grids. First, a family of kexact Godunov schemes...

mStrand
 Referenced in 3 articles
[sw24946]
 flow solution method where a prismaticlike grid using “strands” is grown to a short ... domain is covered using an adaptive Cartesian grid. The approach offers several advantages in terms...

WPP
 Referenced in 3 articles
[sw21775]
 equations using a second order accurate numerical method that satisfies the principle of summation ... condition on the top boundary, absorbing supergrid conditions on the farfield boundaries ... seismic wave equations are discretized on a Cartesian mesh below the curvilinear grid. The Cartesian...

LBMEP
 Referenced in 2 articles
[sw14031]
 latticeBoltzmann method for fast cardiac electrophysiology simulation from 3D images. Current treatments of heart ... domain is discretized on a Cartesian grid with a levelset representation of patient ... transmembrane potential is diffused using LatticeBoltzmann method within the domain defined by the level...

TDSE Solver
 Referenced in 1 article
[sw16831]
 finitedifference method (FDM) in Cartesian coordinates and uses a simple and explicit leapfrog ... numerical scheme. The simplicity of the numerical method provides very efficient parallelization and high performance ... steps on the 1000·1000·1000 numerical grid (10 9 points) takes only 16 hours ... resources. The usage of a nonregular Cartesian grid or problemspecific nonCartesian coordinates...