Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations
Simulation of water flow animation is a significant and challenging subject in computer graphics. With the continuous development of computational fluid dynamics and computer graphics, many more effective simulation methods have been developed, and fluid animation simulation has developed rapidly. I...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5157197 |
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| author | Rushi Cao Ruyun Cao |
| author_facet | Rushi Cao Ruyun Cao |
| author_sort | Rushi Cao |
| collection | DOAJ |
| description | Simulation of water flow animation is a significant and challenging subject in computer graphics. With the continuous development of computational fluid dynamics and computer graphics, many more effective simulation methods have been developed, and fluid animation simulation has developed rapidly. In order to obtain realistic flow animation, one of the key aspects is to simulate flow motion. Based on the two-dimensional Navier-Stokes equations, a mathematical model is established to solve the boundary conditions required by the physical flow field of water. The coordinate transformation formula is introduced to transform the irregular physical area into a regular square calculation area, and then, the specific expressions of the liberalized Navier-Stokes equation, continuity equation, pressure Poisson equation, and dimensionless boundary conditions are given. Using animation software to sequence graphics and images of all kinds of control and direct operation of the relevant instructions, through the computer technology to simulate the flow of animation, based on the stability of fluid simulation method and simulation efficiency, so as to make realistic flow animation. The results show that FluidsNet has considerable performance in accelerating large scene animation simulation on the basis of ensuring the rationality of prediction, and the motion of water wave is realistic. The application of computer successfully simulates water flow. |
| format | Article |
| id | doaj-art-fbd04f76e01a4b968cbab68716ba726a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fbd04f76e01a4b968cbab68716ba726a2025-02-03T01:08:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/51571975157197Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes EquationsRushi Cao0Ruyun Cao1Department of Art, Sichuan University, Chengdu 610000, ChinaSchool of Design and Art, China Academy of Art, Hangzhou 310000, ChinaSimulation of water flow animation is a significant and challenging subject in computer graphics. With the continuous development of computational fluid dynamics and computer graphics, many more effective simulation methods have been developed, and fluid animation simulation has developed rapidly. In order to obtain realistic flow animation, one of the key aspects is to simulate flow motion. Based on the two-dimensional Navier-Stokes equations, a mathematical model is established to solve the boundary conditions required by the physical flow field of water. The coordinate transformation formula is introduced to transform the irregular physical area into a regular square calculation area, and then, the specific expressions of the liberalized Navier-Stokes equation, continuity equation, pressure Poisson equation, and dimensionless boundary conditions are given. Using animation software to sequence graphics and images of all kinds of control and direct operation of the relevant instructions, through the computer technology to simulate the flow of animation, based on the stability of fluid simulation method and simulation efficiency, so as to make realistic flow animation. The results show that FluidsNet has considerable performance in accelerating large scene animation simulation on the basis of ensuring the rationality of prediction, and the motion of water wave is realistic. The application of computer successfully simulates water flow.http://dx.doi.org/10.1155/2021/5157197 |
| spellingShingle | Rushi Cao Ruyun Cao Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations Advances in Mathematical Physics |
| title | Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations |
| title_full | Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations |
| title_fullStr | Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations |
| title_full_unstemmed | Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations |
| title_short | Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations |
| title_sort | computer simulation of water flow animation based on two dimensional navier stokes equations |
| url | http://dx.doi.org/10.1155/2021/5157197 |
| work_keys_str_mv | AT rushicao computersimulationofwaterflowanimationbasedontwodimensionalnavierstokesequations AT ruyuncao computersimulationofwaterflowanimationbasedontwodimensionalnavierstokesequations |