检索结果-南通市图书馆

Performance of Geometric Multigrid Method for Two-Dimensional burgers’equations with Non-Orthogonal,Structured Curvilinear Grids

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Computer Modeling in Engineering & Sciences 2020年第12期125卷 1061-1081页

作者： Daiane Cristina Zanatta Luciano Kiyoshi Araki Marcio Augusto Villela Pinto Diego Fernando Moro State University of Centro-Oeste IratiBrazil Federal University of Parana Department of Mechanical EngineeringCuritibaBrazil Positivo University CuritibaBrazil

This paper seeks to develop an efficient multigrid algorithm for solving the burgers problem with the use of non-orthogonal structured curvilinear grids in L-shaped *** this,the differential equations were discretized by Finite Volume Method(FVM)with second-order approximation scheme and deferred ***,the algebraic method and the differential method were used to generate the non-orthogonal structured curvilinear ***,the influence of some parameters of geometric multigrid method,as well as lexicographical Gauss–Seidel(Lex-GS),η-line Gauss–Seidel(η-line-GS),Modified Strongly Implicit(MSI)and modified incomplete LU decomposition(MILU)solvers on the Central Processing Unit(CPU)time was ***,several parameters of multigrid method and solvers were tested for the problem,with the use of nonorthogonal structured curvilinear grids and multigrid method,resulting in an algorithm with the combination that achieved the best results and CPU *** geometric multigrid method with Full Approximation Scheme(FAS),V-cycle and standard coarsening ratio for this problem were *** article shows how to calculate the coordinates transformation metrics in the coarser *** show that the MSI and MILU solvers are the most ***,theMSI solver is faster thanMILU for both grids generators;and the solutions are more accurate for the burgers problem with grids generated using elliptic equations.

关键词： Computational fluid dynamics finite volume method burgers’equation geometric multigrid non-orthogonal curvilinear grids

An Iterative Scheme of Arbitrary Odd Order and Its Basins of Attraction for Nonlinear Systems

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Computers, Materials & Continua 2021年第2期66卷 1427-1444页

作者： Obadah Said Solaiman Ishak Hashim Department of Mathematical Sciences Universiti Kebangsaan MalaysiaBangi Selangor43600Malaysia

In this paper,we propose a fifth-order scheme for solving systems of nonlinear *** convergence analysis of the proposed technique is *** proposed method is generalized and extended to be of any odd order of the form 2n*** scheme is composed of three steps,of which the first two steps are based on the two-step Homeier’s method with cubic convergence,and the last is a Newton step with an appropriate approximation for the *** iteration of the presented method requires the evaluation of two functions,two Fréchet derivatives,and three matrix inversions.A comparison between the efficiency index and the computational efficiency index of the presented scheme with existing methods is *** basins of attraction of the proposed scheme illustrated and compared to other schemes of the same *** test problems including large systems of equations are considered to compare the performance of the proposed method according to other methods of the same *** an application,we apply the new scheme to some real-life problems,including the mixed Hammerstein integral equation and burgers’*** and examples show that the presented method is efficient and comparable to the existing techniques of the same order.

关键词： System of nonlinear equations root finding method iterative method order of convergence burgers’equation

Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2012年第6期4卷 821-832页

作者： Wanrong Cao Zhongqiang Zhang Department of Mathematics Southeast UniversityNanjing 210096China Division of Applied Mathematics Brown UniversityProvidenceRI 02912USA

In this paper,we investigate the numerical performance of a family of P-stable two-step Maruyama schemes in mean-square sense for stochastic differential equations with time delay proposed in[8,10]for a certain class of nonlinear stochastic delay differential equations with multiplicative white *** also test the convergence of one of the schemes for a time-delayed burgers’equation with an additive white *** results show that this family of two-step Maruyama methods exhibit similar stability for nonlinear equations as that for linear equations.

关键词： P-stability in mean-square sense two-step Maruyama methods nonlinear stochastic delay differential system burgers’equation

The Error-Minimization-Based Strategy for Moving Mesh Methods

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Computational Physics 2006年第1期1卷 53-80页

作者： Konstantin Lipnikov Mikhail Shashkov Los Alamos National Laboratory MS B284Los AlamosNM87545USA

The typical elements in a numerical simulation of fluid flow using moving meshes are a time integration scheme,a rezone method in which a new mesh is defined,and a remapping(conservative interpolation)in which a solution is transferred to the new *** objective of the rezone method is to move the computational mesh to improve the robustness,accuracy and eventually efficiency of the *** this paper,we consider the onedimensional viscous burgers’equation and describe a new rezone strategy which minimizes the L2 norm of error and maintains mesh *** efficiency of the proposed method is demonstrated with numerical examples.

关键词： Moving meshes burgers’equation error estimates