Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Localized Method of Approximate Particular Solution for Solving Incompressible Navier-stokes Equations
Author: High Accuracy Solutions of Incompressible Navier-Stokes Equations
Author: Murli M. GuptaPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 30
Book Description
Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements
Author: Bo-nan JiangPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 18
Book Description
Accuracy of Least-squares Methods for the Navier-Stokes Equations
Author: Pavel B. BochevPublisher:
ISBN:
Category : Least squares
Languages : en
Pages : 24
Book Description
A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
Author: Ann S. AlmgrenPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 16
Book Description
A Solution Procedure for Three-dimensional Incompressible Navier-Stokes Equation and Its Application
Author: Dochan KwakSolution of the Incompressible Navier-Stokes Equations with the Approximate Factorization Technique
Author: C. BenocciPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 23
Book Description
Numerical Solution of the Incompressible Navier-Stokes Equations in Three-dimensional Generalized Curvilinear Coordinates
Author: Stuart Eames RogersPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 52
Book Description
Recent Advances in Radial Basis Function Collocation Methods
Author: Wen ChenPublisher: Springer Science & Business Media
ISBN: 3642395724
Category : Technology & Engineering
Languages : en
Pages : 98
Book Description
This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.
Theoretical Study of the Incompressible Navier-Stokes Equations by the Least-Squares Method
Author: National Aeronautics and Space Administration (NASA)Publisher: Createspace Independent Publishing Platform
ISBN: 9781722891688
Category :
Languages : en
Pages : 48
Book Description
Usually the theoretical analysis of the Navier-Stokes equations is conducted via the Galerkin method which leads to difficult saddle-point problems. This paper demonstrates that the least-squares method is a useful alternative tool for the theoretical study of partial differential equations since it leads to minimization problems which can often be treated by an elementary technique. The principal part of the Navier-Stokes equations in the first-order velocity-pressure-vorticity formulation consists of two div-curl systems, so the three-dimensional div-curl system is thoroughly studied at first. By introducing a dummy variable and by using the least-squares method, this paper shows that the div-curl system is properly determined and elliptic, and has a unique solution. The same technique then is employed to prove that the Stokes equations are properly determined and elliptic, and that four boundary conditions on a fixed boundary are required for three-dimensional problems. This paper also shows that under four combinations of non-standard boundary conditions the solution of the Stokes equations is unique. This paper emphasizes the application of the least-squares method and the div-curl method to derive a high-order version of differential equations and additional boundary conditions. In this paper, an elementary method (integration by parts) is used to prove Friedrichs' inequalities related to the div and curl operators which play an essential role in the analysis. Jiang, Bo-Nan and Loh, Ching Y. and Povinelli, Louis A. Glenn Research Center NCC3-233; RTOP 505-90-5K...