Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy
Joint Authors
Huang, Ho-Shuenn
Hwang, Yao-Hsin
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-02
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A compact and accurate discretization for fluid flow simulations is introduced in this paper.
Contrary to the common wisdom in a convectional scheme, the solution gradient required for a high-resolution scheme is provided by solving its corresponding difference equation rather than by interpolation from solution values at neighboring computational nodes.
To achieve this goal, a supplementary equation and its associated control volume are proposed to retain a compact and accurate discretization.
Scheme essentials are exposed by numerical analyses on simple one-dimensional modeled problems to reveal its formal accuracy.
Several test problems are solved to illustrate the feasibility of present formulation.
From the obtained numerical results, it is evident that the proposed scheme will be a useful tool to simulate fluid flow problems in arbitrary domains.
American Psychological Association (APA)
Huang, Ho-Shuenn& Hwang, Yao-Hsin. 2013. Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1009314
Modern Language Association (MLA)
Huang, Ho-Shuenn& Hwang, Yao-Hsin. Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy. Mathematical Problems in Engineering No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-1009314
American Medical Association (AMA)
Huang, Ho-Shuenn& Hwang, Yao-Hsin. Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1009314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009314