By W.F. Jr. Ballhaus, M.Y. Hussaini

This specified quantity comprises the lawsuits of the Symposium hung on June 26, 1988 at Williamsburg, Virginia, in honor of Professor Maurice Holt at the party of his 70th birthday. there have been greater than dozen individuals from 11 nations. They have been both his earlier scholars or his colleagues whose careers crossed his at some point soon. The twenty-one papers during this quantity are the written model of the shows at this Symposium; they're quite often within the quarter of computational fluid dynamics (CFD), a box within which Professor Holt is a pioneer. those papers hide just about all facets of CFD together with numerical research, symbolic research, and grid genera­ tion. They disguise various subject matters akin to advanced plume flows, surprise waves and surprise focussing, coronary movement, loose floor flows, direct containment warmth­ ing in nuclear reactors, and uranium enrichment. there's additionally an editorial at the growth and destiny instructions in CFD via one of many actual specialists during this quarter. as well as CFD papers, there's an experimental paper at the circulate of round glass beads in airflow in a ninety° vertical-to-horizontal bend, in addition to a old paper on seventy years of fluid dynamic study at Aerodynamisches Institut at Aachen. it truly is worthy mentioning that there's additionally a piece of writing at the easy fluid suggestion via a world-renowned authority on continuum mechanics.

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The general problem is that all the independent variables become coupled to the mesh singularity, and it is more difficult to form efficient implicit finite difference or finite volumes equations from the basic laws. Also, the use of the popular factored methods becomes very difficult, and one is forced to use explicit techniques which can be inefficient for the solution of the Navier-Stokes equations. The solution to the problem is illustrated in figure (1), and this solution consists of not placing a grid point or cell center at the singular point.

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