Building animation tools for fluid-like motions is an important and challenging problem with many applications in computer graphics. The use of physics-based models for fluid flow can greatly assist in creating such tools. Physical models, unlike key frame or procedural based techniques, permit an animator to almost effortlessly create interesting, swirling fluid-like behaviors. Also, the interaction of flows with objects and virtual forces is handled elegantly. Until recently, it was believed that physical fluid models were too expensive to allow real-time interaction. This was largely due to the fact that previous models used unstable schemes to solve the physical equations governing a fluid. In this paper, for the first time, we propose an unconditionally stable model which still produces complex fluid-like flows. As well, our method is very easy to implement. The stability of our model allows us to take larger time steps and therefore achieve faster simulations. We have used our model in conjuction with advecting solid textures to create many fluid-like animations interactively in twoand three-dimensions. CR Categories: I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism—Animation

Stable fluids

Fluid-structure interaction in piping systems (FSl) consists of the transfer of momentum and forces between piping and the contained liquid during unsteady flow. Excitation mechanisms may be caused by rapid changes in flow and pressure or may be initiated by mechanical action of the piping. The interaction is manifested in pipe vibration and perturbations in velocity and pressure of the liquid. The resulting loads imparted on the piping are transferred to the support mechanisms such as hangers, thrust blocks, etc. The phenomenon has recently received increased attention because of safety and reliability concerns in power generation stations, environmental issues in pipeline delivery systems, and questions related to stringent industrial piping design performance guidelines. Furthermore, numerical advances have allowed practitioners to revisit the manner in which the interaction between piping and contained liquid is modeled, resulting in improved techniques that are now readily available to predict FSI. This review attempts to succinctly summarize the essential mechanisms that cause FSI, and present relevant data that describe the phenomenon. In addition, the various numerical and analytical methods that have been developed to successfully predict FSI will be described. Several earlier reviews regarding FSI in piping have been published; this review is intended to update the reader on developments that have taken place over the last approximately ten years, and to enhance the understanding of various aspects of FSI. lDept. of Civil and Environmental Engineering, Michigan State University, East Lansing, MI48824 2Dept. of Applied Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513,5600 MB Eindhoven, The Netherlands

/pdf/fluid-transients-and-fluid-structure-interaction-in-flexible-10d4ihp00q.pdf

Fluid transients and fluid-structure interaction in flexible liquid-filled piping

Modeling solid oxide fuel cell operation: Approaches, techniques and results

Numerical simulations of the dependency of flow pattern on impeller clearance in stirred vessels

SUMMARY A numerical method based on the MacCormack finite difference scheme is presented. The method was developed for simulating two-dimensional overland flow with spatially variable infiltration and microtopography using the hydrodynamic flow equations. The basic MacCormack scheme is enhanced by using the method of fractional steps to simplify application; treating the friction slope, a stiff source term, point-implicitly, plus, for numerical oscillation control and stability, upwinding the convective acceleration term. A higher-order smoothing operator is added to aid oscillation control when simulating flow over highly variable surfaces. Infiltration is simulated with the Green‐Ampt model coupled to the surface water component in a manner that allows dynamic interaction. The developed method will also be useful for simulating irrigation, tidal flat and wetland circulation, and floods. Copyright © 2000 John Wiley & Sons, Ltd.

https://www.engr.colostate.edu/~ramirez/ce_old/projects/Fiedler_Ramirez.pdf

A numerical method for simulating discontinuous shallow flow over an infiltrating surface

1. Introduction. 2. The simplest description of continuous fluid flow. 3. The finite difference method. 4. Diffusion problems. 5. Transport as a combination of addiction and diffusion. 6. Descriptions of unsteady flows. 7. Solution methods for unsteady free surface flows. 8. Equilibrium methods. 9. Computational fluid dynamics of turbulence. 10. An introduction to some other numerical methods. Index.

Computational Fluid Dynamics: An Introduction for Engineers

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Computational Fluid Dynamics: An Introduction for Engineers