Modified method of regularized sources for potential flow
نویسندگان
چکیده
This paper describes the development of Method Regularized Sources for potential flow problems. It is based on modification fundamental solution near source point by replacing singularity with a blob in form steep rational function. allows to solve problems same way as Fundamental Solutions, however without an artificial boundary. gives excellent results Dirichlet boundary conditions, it fails Neumann conditions. To overcome this problem are positions segments placed close collocation points. approach somehow represents blending and classical Solutions. The novel characterized two free parameters; thickness displacement position. A two-dimensional numerical example around circle analyzed detail regarding these parameters. modified even more accurate derivatives than can be 2–25 times closer points Solutions thus reduces placement
منابع مشابه
A Modified Method of Fundamental Solutions for Potential Flow Problems
This chapter describes an application of the recently proposed Modified Method of Fundamental Solutions (MMFS) to the potential flow problems. The solution in two dimensional Cartesian coordinates is represented in terms of the fundamental solution of the Laplace equation together with the first order polynomial augmentation. The collocation is used for determination of the expansion coefficien...
متن کاملOptimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method
In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by ...
متن کاملA Modified Regularized Newton Method for Unconstrained Nonconvex Optimization
In this paper, we present a modified regularized Newton method for the unconstrained nonconvex optimization by using trust region technique. We show that if the gradient and Hessian of the objective function are Lipschitz continuous, then the modified regularized Newton method (M-RNM) has a global convergence property. Numerical results show that the algorithm is very efficient.
متن کاملModified DLM method for finite-volume simulation of particle flow
A Distributed-Lagrange-Multiplier(DLM)-based method is implemented for the simulation of particulate flow. Initially, we show that our fluid-particle solver produces results which are in good agreement with numerical studies of benchmark viscous flow problems. Subsequently, the bouncing motion of a solid sphere onto a solid plate in an ambient fluid is considered. Comparing results for the coef...
متن کاملQuantitative Regularized Range Flow
We present quantitative results for computing local least squares and global regularized range ow on a real range sequence. We review the computation of local range ow 11], including the two types of normal range ow, computed in a least squares framework, and then show how its computation can be cast in a global Horn and Schunck like regularization framework 13]. This is done by using range dat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2021
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2020.05.022