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The effect of non-uniform grids on the solution of the Euler equations is analyzed. We consider a Runge-Kutta type scheme based on a finite volume formulation. We show that for arbitrary grids the scheme can he inconsistent even though it is second-order accurate for uniform grids. An improvement is suggested which leads to at least first-order accuracy for general grids. Test cases are presented in both two- and three-space dimensions. Applications to finite difference and implicit algorithms are also given.
The present volume, with the exception of the introductory chapter, consists of papers delivered at the workshop entitled "The Impact of Supercomputers on the Next Decade of Computational Fluid Dynamics," The workshop, which took place in Jerusalem, Israel during the week of December 16, 1984, was initiated by the National Science Foundation of the USA (NSF), by the Ministry of Science and Development, Israel (IMSD), and co-sponsored by the National Aeronautics and Space Administration (NASA), the Office of Scientific Research of the U.S. Air Force (AFOSR), Tel Aviv University and Massachusetts Institute of Technology. The introductory chapter attempts to summarize what transpired at the wor...
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
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This volume contains new trends of computational fluid dynamics for the 21st century and consists of papers especially useful to the younger generation of scientists and engineers in this field. Topics include cartesian, gridless and higher-order schemes, and flow-visualization techniques.
**Selected for Doody’s Core Titles® 2024 with "Essential Purchase" designation in Theory** Find the thinking of 39 leading nursing theorists in one comprehensive text! Nursing Theorists and Their Work, 10th Edition provides a clear, in-depth look at nursing theories of historical and international significance. Each chapter presents a key nursing theory or philosophy, showing how systematic theoretical evidence can enhance decision making, professionalism, and quality of care. Lead author Martha Raile Alligood is known nationally and internationally for her expertise in nursing theory. A classic in the field of nursing theory, this text uses objective critiques, case studies, and critical...