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Fully Isotropic Fast Marching Methods on Cartesian Grids. [PDF]

open access: yesComput Vis ECCV, 2010
The existing Fast Marching methods which are used to solve the Eikonal equation use a locally continuous model to estimate the accumulated cost, but a discontinuous (discretized) model for the traveling cost around each grid point. Because the accumulated cost and the traveling (local) cost are treated differently, the estimate of the accumulated cost ...
Appia V, Yezzi A.
europepmc   +4 more sources

Hodge decomposition of vector fields in Cartesian grids. [PDF]

open access: yesSIGGRAPH Asia
While explicit representations of shapes such as triangular and tetrahedral meshes are often used for boundary surfaces and 3D volumes bounded by closed surfaces, implicit representations of planar regions and volumetric regions defined by level-set functions have also found widespread applications in geometric modeling and simulations.
Su Z, Tong Y, Wei G, Wei G.
europepmc   +3 more sources

Conversion of contours to cartesian grids [PDF]

open access: yes, 2007
A robust and efficient method of calculating a cartesian grid of heights or roughnesses from contour line maps is developed. The purpose of the grids is to serve as input for atmospheric flow solvers such as WAsP Engineering or EllipSys3D. The method builds on Delaunay triangulation constrained to include all contour segments in the triangulation.
Broe, Brian Riget, Mann, Jakob
core   +2 more sources

THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE [PDF]

open access: yesEPJ Web of Conferences, 2021
In this paper, we present a formulation of the slice balance approach using a nonlinear closure relation derived analogously from the adaptive-weighted diamond-difference form of the weighted diamond-difference method for Cartesian grids.
Hackemack Michael W.
doaj   +1 more source

Additive two-dimensional splitting schemes for solving 3D suspension transport problems on optimal boundary-adaptive grids with uniform spacing’s in the vertical direction [PDF]

open access: yesE3S Web of Conferences, 2020
The article considers3D matter transport model in dissolved and suspended forms (impurities) in coastal marine systems. The initial boundary value problem numerical solution is carried out on the basis of local2D splitting schemes.
Sukhinov A, Sidoryakina V
doaj   +1 more source

A particle-based method using the mesh-constrained discrete point approach for two-dimensional Stokes flows

open access: yesMechanical Engineering Journal, 2022
Meshless methods inherently do not require mesh topologies and are practically used for solving partial differential equations in continuum mechanics. However, these methods generally tend to have a higher computational load than conventional mesh-based ...
Takeharu MATSUDA   +2 more
doaj   +1 more source

Verification of multilevel octree grid algorithm of SN transport calculation with the Balakovo-3 VVER-1000 neutron dosimetry benchmark

open access: yesNuclear Engineering and Technology, 2023
Neutron transport calculations are extremely challenging due to the high computational cost of large and complex problems. A multilevel octree grid algorithm (MLTG) of discrete ordinates method was developed to improve the modeling accuracy and ...
Cong Liu   +3 more
doaj   +1 more source

Cartesian Mesh Generation with Local Refinement for Immersed Boundary Approaches

open access: yesJournal of Marine Science and Engineering, 2021
In this paper, an efficient and robust Cartesian Mesh Generation with Local Refinement for an Immersed Boundary Approach is proposed, whose key feature is the capability of high Reynolds number simulations by the use of wall function models, bypassing ...
Luca Di Angelo   +3 more
doaj   +1 more source

Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows

open access: yesApplied Sciences, 2020
The Cartesian cut-cell method is one of the most promising methods for computational fluid dynamics due to its sharp interface treatment. However, the Cartesian cut-cell method and other Cartesian mesh solvers have difficulty with concentrating grid to ...
Yuki Takeda   +3 more
doaj   +1 more source

A method for eternally dominating strong grids [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
In the eternal domination game, an attacker attacks a vertex at each turn and a team of guards must move a guard to the attacked vertex to defend it. The guards may only move to adjacent vertices and no more than one guard may occupy a vertex.
Alizée Gagnon   +7 more
doaj   +1 more source

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