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

ISBN-10: 1461236843

ISBN-13: 9781461236849

ISBN-10: 1461282012

ISBN-13: 9781461282013

This distinctive quantity includes the court cases of the Symposium hung on June 26, 1988 at Williamsburg, Virginia, in honor of Professor Maurice Holt at the get together of his 70th birthday. there have been greater than dozen contributors from 11 international locations. They have been both his previous scholars or his colleagues whose careers crossed his sooner or later. The twenty-one papers during this quantity are the written model of the displays at this Symposium; they're typically within the zone of computational fluid dynamics (CFD), a box during which Professor Holt is a pioneer. those papers disguise just about all points of CFD together with numerical research, symbolic research, and grid genera­ tion. They disguise varied issues similar to advanced plume flows, surprise waves and surprise focussing, coronary movement, unfastened floor flows, direct containment warmth­ ing in nuclear reactors, and uranium enrichment. there's additionally a piece of writing at the growth and destiny instructions in CFD by means of one of many actual specialists during this quarter. as well as CFD papers, there's an experimental paper at the move of round glass beads in airflow in a ninety° vertical-to-horizontal bend, in addition to a historic paper on seventy years of fluid dynamic learn at Aerodynamisches Institut at Aachen. it truly is worthy declaring that there's additionally a piece of writing at the easy fluid notion through a world-renowned authority on continuum mechanics.

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Additional resources for Advances in Fluid Dynamics: Proceedings of the Symposium in Honor of Maurice Holt on His 70th Birthday

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Y. Spectral multigrid methods for elliptic equations. Jrnl. of Compo Physics 48, 485-501 (1982). 4. id. Spectral multigrid methods for elliptic equations II, Jrnl. of Compo Physics 54, 489-507 (1983). 5. J. J. Some experiences with spectral methods; Notes on numerical fluid Mechanics, Vol. 17, p. 101-115 (1987). 6. L. Kleiser Numerische Simulationen zum laminarturbulenten Umschlagsprozess der ebenen Poissenille Stromung. Karlsruhe, april 1982. 7. L. Kleiser, Schumann, U. Treatment of incompressibility and boundary conditions in 3-d numerical simulations of Plane channel flows.

V(x,y) - M b k (y) Tk (x) and b k (y) - L .. aj k Tj (1) (y) j=O k=O In (1) Tk (x) and Tj (y) are Chebyshev polynomials of order k and j and the double prime .. denotes that the terms with k - 0 or N or j - 0 or Mare taken with factor ~. As is seen from (1) a two-dimensional problem can be 2 treated as a repeated one-dimensional problem. For the description of the method we can restrict ourselves to the description in one dimension. So N vex) - L .. k cos N if the collocation points xk J k _ 0 , 1 , .

Therefore when compared against other mixed schemes which are first order accurate in the shock region and second order accurate elsewhere, the present scheme would possess the capability of high resolution of shock waves. It is not difficult to extend formally the scheme for scalar equation (10) to the Euler equations au aF(U) -+--=0 (22) at ax where U is a vector and F is a function of vector U. ' • 1 F-:-+'R = F';'l - -2 min mod (llF-:-+ , ,IlF-:-+s) " For one dimensional Navier-Stokes equations au at aF ax " aFII ax -+-=- " (25) (26) (27) where FII is due to the viscous contribution.

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Advances in Fluid Dynamics: Proceedings of the Symposium in Honor of Maurice Holt on His 70th Birthday by W.F. Jr. Ballhaus, M.Y. Hussaini

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