Numerical simulations for two-dimensional incompressible Navier-Stokes equations with stochastic boundary conditions

2009 ◽  
Vol 26 (3) ◽  
pp. 662-674
Author(s):  
Junxiang Lu ◽  
Yichen Ma ◽  
Fande Kong
Keyword(s):  
Boundary Conditions ◽  
Numerical Simulations ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Stochastic Boundary

scholarly journals Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Rushi Cao ◽  
Ruyun Cao
Keyword(s):  
Computer Graphics ◽  
Boundary Conditions ◽  
Water Flow ◽  
Stokes Equations ◽  
Simulation Method ◽  
Fluid Simulation ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equation ◽  
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. 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.

scholarly journals One method to determine the solution values at the boundary for the vertical two-dimensional equation system

1998 ◽  
Vol 20 (3) ◽  
pp. 24-36
Author(s):  
Tran Gia Lich
Keyword(s):  
Boundary Conditions ◽  
Stokes Equations ◽  
Equation System ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Dimensional Equation

In this paper, the boundary conditions for modified Navier-Stokes equations system are presented, and the complementary equations on the boundaries are established.

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