Study of incompressible Navier-Stokes equations in primitive variables using implicit numerical technique

Simulation of physically realistic complex dust behavior is very useful in training, education, art, advertising, and entertainment. There are no published models for real-time simulation of dust behavior generated by a traveling vehicle. In this paper, we use particle systems, computational fluid dynamics, and behavioral simulation techniques to simulate dust behavior in real time. First, we analyze the forces and factors that affect dust generation and the behavior after dust particles are generated. Then, we construct physically-based empirical models to generate dust particles and control the behavior accordingly. We further simplify the numerical calculations by dividing dust behavior into three stages, and establishing simplified particle system models for each stage. We employ motion blur, particle blending, texture mapping, and other computer graphics techniques to achieve the final results. Our contributions include constructing physically-based empirical models to generate dust behavior and achieving simulation of the behavior in real time.

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“…Uniform Stream We employ Ghia's approach [Ghia et al 1977;1979] to solve Eqs. (5) and (6) numerically.…”

Section: Turbulent Wake Vehiclementioning

confidence: 99%

“…The velocities of inflow, outflow, and on the top boundary are fixed. For the Poisson equation (5), the boundary conditions consist of the normal gradient ( Ѩp ր Ѩn ) evaluated at the interior boundary [Ghia et al 1977]. …”

Section: Turbulent Wake Vehiclementioning

confidence: 99%

Real-time simulation of dust behavior generated by a fast traveling vehicle

Chen

Wegman

1999

ACM Trans. Model. Comput. Simul.

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“…Ghia, Hankey and Hodge ( 1977) Some comments about the resulting typical solutions will be made later in Section III. The resulting algorithm (see Osswald and K. Ghia (1978)] is very efficient ; the typical computing time has been reduced by at least one order of magnitude .…”

Section: Analytical and Numerical Coordinate-transformationsmentioning

confidence: 99%

Analysis and Numerical Solution of Three-Dimensional Viscous Internal Flow Problems.

Ghia¹,

Ghia²

1978

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“…Finite di erences and ÿnite volumes on staggered and regular (collocated) grids have been used in many applications (see References [14][15][16]). Finite-element formulations, on the other hand, are usually based on di erent interpolations for the velocity and for the pressure.…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of incompressible Navier–Stokes equations using modified Bernoulli's law

Shatalov

Hafez

2003

Numerical Methods in Fluids

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SUMMARYSimulations of incompressible ows are important for many practical applications in aeronautics and beyond, particularly in the high Reynolds number regime. The present formulation is based on Helmholtz velocity decomposition where the velocity is presented as the gradient of a potential plus a rotational component. Substituting in the continuity equation yields a Poisson equation for the potential which is solved with a zero normal derivative at solid surfaces. The momentum equation is used to update the rotational component with no slip=no penetration surface boundary conditions. The pressure is related to the potential function through a special relation which is a generalization of Bernoulli's law, with a viscous term included. Results of calculations for two-and three-dimensional problems prove that the present formulation is a valid approach, with some possible beneÿts compared to existing methods.

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Study of incompressible Navier-Stokes equations in primitive variables using implicit numerical technique

Cited by 23 publications

References 9 publications

Real-time simulation of dust behavior generated by a fast traveling vehicle

Real-time simulation of dust behavior generated by a fast traveling vehicle

Analysis and Numerical Solution of Three-Dimensional Viscous Internal Flow Problems.

Numerical solutions of incompressible Navier–Stokes equations using modified Bernoulli's law

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