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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000002562555 | QA901.L37 1985 | Open Access Book | Proceedings, Conference, Workshop etc. | Searching... |
Searching... | 30000002562514 | QA901.L37 1985 | Open Access Book | Proceedings, Conference, Workshop etc. | Searching... |
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Summary
Summary
This work covers the proceedings of an AMS-SIAM Summer Seminar on Applied Mathematics held at Scripps Institution of Oceanography in 1983, whose purpose was to bring scientists interested in computational fluid mechanics together with numerical analysts and mathematicians working in large-scale computations. The complexity of many contemporary problems of fluid mechanics is so great as to tax the capabilities of present-day computers. There is a real need and opportunity for numerical analysis to aid research on the physical problems of achieving optimal utilization of current computers. Fifty lectures were given on subjects equally divided between mathematics and applications. The numerical modeling included geophysical problems of the atmosphere, ocean, and interior of the earth, and planetary, solar, and stellar atmospheres. Applications ranged from idealized turbulence in laboratory convection models to operational weather prediction.Engineering applications included aerodynamics, combustion, and flow in porous media. Recent advances in numerical analysis which have applications to these problems were stressed. These include shock capturing algorithms, spectral methods, boundary treatments, vortex methods, and parallel computing. In addition to specialized research lectures, several speakers gave talks surveying important areas of numerical analysis and computational fluid dynamics.
Table of Contents
Part 1 Semi-Lagrangian advective schemes and their use in meteorological modelingJ. R. Bates |
Adaptive mesh refinement for hyperbolic equationsM. J. Berger |
Averaged multivalued solutions and time discretization for conservation lawsY. Brenier |
Computing with high-resolution upwind schemes for hyperbolic equationsS. R. Chakravarthy and S. Osher |
Mathematical modeling of the steam-water condensation in a condenserC. Conca |
Some theoretical and computational considerations of atmospheric frontsM. J.. P. Cullen and R. J. Purser |
Numerical solution of Euler's equation by perturbed functionalsS. K. Dey |
A mathematical model and numerical study of platelet aggregation during blood clottingA. L. Fogelson |
Computational methods for discontinuities in fluidsO. A. McBryan |
Problems and numerical methods of the incorporation of mountains in atmospheric modelsF. Mesinger and Z. I. Janjic |
Discrete shocks for systems of conservation lawsD. Michelson |
Initial-boundary value problems for incomplete singular perturbations of hyperbolic systemsD. Michelson |
A mixed finite element method for $3d$ Navier-Stokes equationsJ. C. Nedelec |
Stability of the flow around a circular cylinder to forced disturbancesV. A. Patel |
Some contributions to the modelling of discontinuous flowsP. Roe |
Techniques for numerical simulation of large-scale eddies in geophysical fluid dynamicsR. Sadourny |
Finite difference techniques for nonlinear hyperbolic conservation lawsR. Sanders |
Conforming finite element methods for incompressible and nearly incompressible continuaL. R. Scott and M. Vogelius |
Vortex methods and turbulent combustionJ. A. Sethian |
Numerical solutions of rotating internal flowsC. G. Speziale |
High resolution TVD schemes using flux limitersP. Sweby |
Stability of hyperbolic finite-difference models with one or two boundariesL. N. Trefethen |
Matching the Navier-Stokes equations with observationsT. Gal-Chen |
Dynamics of flame propagation in a turbulent fieldA. F. Ghoniem |
New stability criteria for difference approximations of hyperbolic initial-boundary value problemsM. Goldberg and E. Tadmor |
A modified finite element method for solving the incompressible Navier-Stokes equationsP. M. Gresho |
Computational fusion magnetohydrodynamicsR. C. Grimm |
A finite amplitude eigenmode technique to solve and analyze nonlinear equationsR. Grotjahn |
Numerical boundary conditionsB. Gustafsson |
Numerical simulation in three space dimensions of time-dependent thermal convection in a rotating fluidD. H. Hathaway and R. C. J. Somerville |
Static rezone methods for tensor-product gridsJ. M. Hyman and M. J. Naughton |
A nonoscillatory shock capturing scheme using flux limited dissipationA. Jameson |
Part 2 The use of spectral techniques in numerical weather predictionM. Jarraud and A. P. M. Baede |
Improved flux calculations for viscous incompressible flow by the variable penalty methodH. Kheshgi and M. Luskin |
TVD schemes in one and two space dimensionsR. J. LeVeque and J. B. Goodman |
Upwind-difference methods for aerodynamic problems governed by the Euler equationsB. van |
Leer An MHD model of the earth's magnetosphereC. C. Wu |
Application of TVD schemes for the Euler equations of gas dynamicsH. C. Yee and R. F. Warming and A. Harten |
Recent applications of spectral methods in fluid dynamicsT. A. Zang and M. Y. Hussaini |