Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media

Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media

Barycentric rational collocation method is introduced to solve the Forchheimer law modeling incompressible fluids in porous media. The unknown velocity and pressure are approximated by the barycentric rational function. The main advantages of this method are high precision and efficiency. At the sam...

Full description

Bibliographic Details
Main Authors: Qingli Zhao, Yongling Cheng
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5514916
id doaj-215953cdea54459298046a2bc87cbb59
record_format Article
spelling doaj-215953cdea54459298046a2bc87cbb592021-08-09T00:01:18ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5514916Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous MediaQingli Zhao0Yongling Cheng1School of ScienceSchool of ScienceBarycentric rational collocation method is introduced to solve the Forchheimer law modeling incompressible fluids in porous media. The unknown velocity and pressure are approximated by the barycentric rational function. The main advantages of this method are high precision and efficiency. At the same time, the algorithm and program can be expanded to other problems. The numerical stability can be guaranteed. The matrix form of the collocation method is obtained from the discrete numerical schemes. Numerical analysis and error estimates for velocity and pressure are established. Numerical experiments are carried out to validate the convergence rates and show the efficiency.http://dx.doi.org/10.1155/2021/5514916
collection DOAJ
language English
format Article
sources DOAJ
author Qingli Zhao
Yongling Cheng
spellingShingle Qingli Zhao
Yongling Cheng
Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
Journal of Mathematics
author_facet Qingli Zhao
Yongling Cheng
author_sort Qingli Zhao
title Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
title_short Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
title_full Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
title_fullStr Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
title_full_unstemmed Barycentric Rational Collocation Method for the Incompressible Forchheimer Flow in Porous Media
title_sort barycentric rational collocation method for the incompressible forchheimer flow in porous media
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description Barycentric rational collocation method is introduced to solve the Forchheimer law modeling incompressible fluids in porous media. The unknown velocity and pressure are approximated by the barycentric rational function. The main advantages of this method are high precision and efficiency. At the same time, the algorithm and program can be expanded to other problems. The numerical stability can be guaranteed. The matrix form of the collocation method is obtained from the discrete numerical schemes. Numerical analysis and error estimates for velocity and pressure are established. Numerical experiments are carried out to validate the convergence rates and show the efficiency.
url http://dx.doi.org/10.1155/2021/5514916
work_keys_str_mv AT qinglizhao barycentricrationalcollocationmethodfortheincompressibleforchheimerflowinporousmedia
AT yonglingcheng barycentricrationalcollocationmethodfortheincompressibleforchheimerflowinporousmedia
_version_ 1721215388576907264

Similar Items