[PDF] Top 20 A high-order compact integrated-RBF scheme for time-dependent problems
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A high-order compact integrated-RBF scheme for time-dependent problems
... a high-order approximation scheme based on compact integrated radial basis function (RBF) stencils and second-order Adams-Bashforth/Crank-Nicolson algorithms for solving ... See full document
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High Order Compact Scheme and the Moving Mesh Method for Helmholtz Equation with Variable Wave Numbers
... were integrated on a uniform mesh over a time step and conservative interpolation was used to transfer solutions from the old mesh to the new ...2D problems lose of orthogonality and can’t be ... See full document
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A direct forcing immersed boundary method employed with compact integrated RBF approximations for heat transfer and fluid flow problems
... the time step, Uhlmann (2005) presented a method to incorporate the regularised delta functions into a direct formulation of the fluid-solid interactive ...IBMs. High-order approximation schemes for ... See full document
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High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids
... In order to demonstrate the high accuracy and high efficiency of the present method, we use it to solve the fol- lowing three elliptic problems with Dirichlet boundary ...the problems ... See full document
15
A High Order Compact ADI Method for Solving 3D Unsteady Convection Diffusion Problems
... use high order finite difference methods [4-14, 17-23, ...implicit high order compact difference schemes for solving 1D and 2D unsteady convection diffusion equations have been ... See full document
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High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows
... i.e. Scheme 1, Scheme 2 and Scheme 3, is studied through the simu- lation of lid-driven cavity flows and flows past a circular cylinder in a ...a time marching approach starting from a ... See full document
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A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems
... approximation scheme for the time derivative term is proposed. The time stencil is based on 2 nodes over which integrated RBFs are employed to represent the field ...larger time steps ... See full document
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An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... multi-dimensional problems with a number of one-dimensional ...in time and the center difference method in space, ADI is shown to only have second-order accuracy in both time and ...of ... See full document
22
Compact local stencils employed with integrated RBFs for fourth-order differential problems
... mechanics problems such as the motion of a fluid and the deformation of a solid ...the dependent variable is decomposed into a set of RBFs defined over the whole domain, and its derivatives are then ... See full document
16
RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients
... engineering problems have multiple-scale ...in high Reynolds number flows are examples of this ...these problems typically require extremely large amounts of CPU time and computer memory, ... See full document
59
An ausm based third order compact scheme for solving Euler Equations
... The high-order compact schemes developed by Cockburn and Shu [6], Mawlood et ...accuracy problems in resolving shear layer regions due to the excessive numerical dissipation error associated ... See full document
12
A high-order upwind control-volume method based on integrated RBFs for fluid-flow problems
... The RBF approximations can be constructed through differentiation ...values. Integrated RBFs (IRBFs) were successfully introduced into the CV formulation ...namely Scheme 1 and Scheme 2, ...a ... See full document
39
A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... convection-diffusion problems occur in the area of fluid dynamics and several branches of applied ...upwind scheme and a central difference operator result in an unstable solu- tion and are deficient in ... See full document
13
A high-order compact local integrated-RBF scheme for steady-state incompressible viscous flows in the primitive variables
... We use Treatment 2 only in the imposition of the pressure boundary condition. A wide range of Re, { 100, 400,1000,3200 } and uniform grids, { 11 × 11, 31 × 31,51 × 51,71 × 71,91 × 91, 111 × 111,129 × 129 } are considered ... See full document
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Compact local integrated RBF stencil based on finite volume formulation for second-order differential problems
... a high order approximator for over twenty ...and integrated RBFs (DRBFs and IRBFs). The latter, in which the highest order derivatives are decomposed into a set of RBFs, and the ... See full document
10
Compact local integrated-RBF approximations for second-order elliptic differential problems
... of RBF, ...the RBF width has a strong influence on the quality of ...the RBF width can be implemented without addi- tional costs ...[15], high accuracy is achieved at the cost of low ... See full document
47
High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications
... a high-order numerical method based on a combined compact integrated RBF (IRBF) approximation for viscous flow and fluid structure interaction (FSI) ...combined compact IRBF, and ... See full document
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A Reduced High-order Compact Finite Difference Scheme Based on Proper Orthogonal Decomposition for the Generalized Kuramoto-Sivashinsky Equation
... difference scheme for KS equation with periodic boundary ...the high- order compact finite difference scheme to simulate the KS ... See full document
10
A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions
... local integrated radial- basis-function networks (IRBFNs), for the solution of second-order elliptic differential problems defined on two-dimensional regular and irregular ... See full document
14
A Stable Mixed Finite Element Scheme for the Second Order Elliptic Problems
... The remainder of this paper is organized as follows. In Section 2, a new MFE scheme for elliptic problems is con- structed. In Section 3, the corresponding mixed finite element space is obtained. In Section ... See full document
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