Titlebook: Barriers and Challenges in Computational Fluid Dynamics; V. Venkatakrishnan,Manuel D. Salas,Sukumar R. Chak Book 1998 Springer Science+Bus

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Artificial Boundary Conditions for Infinite-Domain ProblemsWe present a new approach to constricting artificial boundary conditions for calculating three-dimensional external flows over finite bodies. The approach is based on application of the difference potentials method by V. S. Ryaben’kii and extends our previous technique developed for the two-dimensional case.

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Local Preconditioning: Who Needs It?Benefits of local preconditioning for the Euler equations are reviewed, and illustrated with numerical examples. Progress in the fight against the feared stagnation-point instability is discussed, and hope-giving numerical evidence is presented in support of this development.

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A Variational Approach to Deriving Smeared-Interface Surface Tension Modelsntinuum and discrete, conserve total energy. This paper explains the variational approach and shows how to apply it to derive energetically consistent CSF (Brackbill et al., 1992) and distributed force (Unverdi & Tryggvason, 1992) surface tension models.

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Progress in Applied Numerical Analysis for Computational Fluid Dynamicsy to unsteady flows, from potential flow modelling to the Reynolds-averaged Navier-Stokes equations, from single-block structured grids to unstructured and hybrid grids, and from pure CFD applications to a wide variety of multi-disciplinary applications.

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Accurate Finite Difference Algorithmsnd computational electromagnetics. These applications require accurate wave propagation over long distances for a wide range of frequencies, placing a severe demand on numerical algorithms, and raising issues related to efficiency, accuracy, compatible space and time treatments, high frequency data,

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Computational Considerations for the Simulation of Discontinuous Flowsropagate disturbances of small amplitude and short wavelength. The demands are particularly high when shock waves are involved, because the chosen algorithm must also resolve discontinuities in the solution. In a previous work (Casper & Carpenter, 1998) the capabilities and deficiencies of shock-cap

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Space-Time Methods for Hyperbolic Conservation Lawslitude scales. An example with both of these characteristics is the propagation . generation of acoustic waves, where the mean-flow amplitude scales are typically orders-of-magnitude larger than those of the generated acoustics. Other examples include vortex evolution and the direct simulation of tu