ADI scheme for N-S equations on a Cartesian grid
A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
... algebraic equations is ...approximation scheme allows the accurate evaluation of the variable u and its derivatives at any point within the local ...
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A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
... algebraic equations is ...approximation scheme allows the accu- rate evaluation of the variable u and its derivatives at any point within the local ...
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Higher-Order Cartesian Grid Based Finite Difference Methods for Elliptic Equations on Irregular Domains and Interface Problems and their Applications
... Higher-Order Cartesian Grid Based Finite Difference Methods for Elliptic Equations on Irregular Domains and Interface Problems and their Applica- ...elliptic equations on irregular domains ...
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An adaptive sparse grid semi-lagrangian scheme for first order Hamilton-Jacobi Bellman equations
... sparse grid scheme and tested it on a series of linear and nonlinear time-dependent Hamilton-Jacobi Bellman ...sparse grid is able to handle the representation of the front with reasonable preci- ...
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A Cartesian-grid integrated-RBF Galerkin technique
... The resultant system of algebraic equations is often symmetric and has a relatively-low condition number, which facilitate the employment of much larger numbers of nodes. Numerical results showed that this ...
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A Cartesian Scheme for Compressible Multimaterial Models in 3D
... 6.3 Rebounds We now focus on cases similar to impacts except that the projectile is not initially adjacent to the plate and can rebound. Here we do not consider the modeling of the full relevant physics at the scales ...
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Advancements in Cartesian grid methods for computational ship hydrodynamics
... in Cartesian- grid simulations: Immersed-Boundary methods and Cut- Cell ...body equations are solved on an explicitly defined surface mesh, while the fluid equations are solved on a ...
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A cartesian-grid integrated-RBF method for viscoelastic flows
... grids, is applied to simulate fully developed flows between two parallel planes and in rectangular ducts. Results obtained show that good agreement with data available in the literature is achieved using relatively ...
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A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes
... integrated-RBF-based Cartesian-grid schemes ...preconditioning scheme to improve the condition number of integrated radial-basis-function (RBF) matrices in solving large-scale 2D elliptic ...a ...
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A Non-uniform Staggered Cartesian Grid Approach for Lattice-boltzmann Method
... efficient scheme for dealing with mesh refinement, but also fast resolution, even in those scenarios where our approach needs to use a higher number of fluid ...
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Maxwell's Equations, Symplectic Matrix, and Grid
... Recently, many scientists and engineers from computational electromagnetics society have focused on the symplectic scheme for solving Maxwell’s equations. Symplectic finite-difference time- domain (FDTD) ...
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Modelling rapid mass movements using the shallow water equations in Cartesian coordinates
... water equations and in the general formulation of Bouchut and Westdickenberg (2004), the acceleration due to gravity being the driving force depends on the gradient of the fluid surface, ensuring that the fluid ...
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The numerical simulation of ship waves using cartesian grid and volume of fluid methods
... Equations 27 thru 30 prevent the reflection of distur- bances back into the interior of the computational do- main. However, these equations do not guarantee the conservation of mass. In order to conserve ...
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Parallelization of 3-D ADI Scheme on Telegraph Problem using Domain Decomposition with PVM
... behavior N o / N 1 , as defined in ...B N o 1 ( 1 ) / T B N o B ( 1 ) includes the increase of floating point operations induced by grid overlap at interfaces and the CPU time ...
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A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems
... governing equations and have been found to possess the following attractive advantages [3, 6–9] a) they are compu- tationally efficient since there is no need for numerical integration of the governing ...
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- ADI splitting for Maxwell s equations
... error analysis for Namiki; Zheng, Chen, Zhang method for Maxwell’s equations on a cuboid. proved rigorous bounds for abstract problem[r] ...
ADI preconditioned Krylov methods for large Lyapunov matrix equations
... In the present paper, we propose preconditioned Krylov methods for solving large Lyapunov matrix equations AX + XA T + BB T = 0. Such problems appear in control theory, model reduction, circuit simulation and ...
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On the effect of the contact surface definition in the Cartesian grid finite element method
... the Cartesian grid finite element method: a linear facet representation, a combination of NURBS surface and FE displacements and the fitting of a NURBS surface to the FE ...
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D.2. The Cartesian Plane. The Cartesian Plane The Distance and Midpoint Formulas Equations of Circles. D10 APPENDIX D Precalculus Review
... An ordered pair of real numbers has x as its first member and y as its second member. The model for representing ordered pairs is called the rectangular coordinate system, or the Cartesian plane, after the French ...
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Diagonalized Cartesian products of S-prime graphs are S-prime
... a Cartesian product G = n i = 1 S i of S-prime graphs with a nontrivial path-k-coloring F , first we will show that there is an S i -layer on which F is ...all S i ...J ...
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