Download or read book THE SPACE TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD A NEW HIGH RESOLUTION AND GENUINELY NASA TM 1998 208843 MAR 1 1999 written by United States. National Aeronautics and Space Administration and published by . This book was released on 1999* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Space Time Conservation Element and Solution Element Method A New High Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws 2 Numerical Simulation of Shock Waves and Contact Discontinuities written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Without resorting to special treatment for each individual test case, the 1D and 2D CE/SE shock-capturing schemes described previously (in Part I) are used to simulate flows involving phenomena such as shock waves, contact discontinuities, expansion waves and their interactions. Five 1D and six 2D problems are considered to examine the capability and robustness of these schemes. Despite their simple logical structures and low computational cost (for the 2D CE/SE shock-capturing scheme, the CPU time is about 2 micro-secs per mesh point per marching step on a Cray C90 machine), the numerical results, when compared with experimental data, exact solutions or numerical solutions by other methods, indicate that these schemes can accurately resolve shock and contact discontinuities consistently. Wang, Xiao-Yen and Chow, Chuen-Yen and Chang, Sin-Chung Glenn Research Center...
Download or read book APPLICATION OF THE SPACE TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD TO ONE DIMENSIONAL NASA TM 1999 209068 JUL 9 1999 written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Application of the Space Time Conservation Element and Solution Element Method to One Dimensional Advection Diffusion Problems written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-09-25 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Test problems are used to examine the performance of several one-dimensional numerical schemes based on the space-time conservation and solution element (CE/SE) method. Investigated in this paper are the CE/SE schemes constructed previously for solving the linear unsteady advection-diffusion equation and the schemes derived here for solving the nonlinear viscous and inviscid Burgers equations. In comparison with the numerical solutions obtained using several traditional finite-difference schemes with similar accuracy, the CE/SE solutions display much lower numerical dissipation and dispersion errors. Wang, Xiao-Yen and Chow, Chuen-Yen and Chang, Sin-Chung Glenn Research Center NASA/TM-1999-209068, NAS 1.15:209068, E-11624
Download or read book Space Time Conservation Element and Solution Element Method written by Chih-Yung Wen and published by Springer Nature. This book was released on 2023-05-10 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.
Download or read book The Method of Space time Conservation Element and Solution Element applications to One dimensional and Two dimensional Time marching Flow Problems written by and published by . This book was released on 1995 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Summary of the Space time Conservation Element and Solution Element CESE Method written by X. Y. Wang and published by . This book was released on 2015 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A New Flux Conserving Newton s Method Scheme for the Two Dimensional Steady Navier Stokes Equations written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-11 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new numerical method is developed for the solution of the two-dimensional, steady Navier-Stokes equations. The method that is presented differs in significant ways from the established numerical methods for solving the Navier-Stokes equations. The major differences are described. First, the focus of the present method is on satisfying flux conservation in an integral formulation, rather than on simulating conservation laws in their differential form. Second, the present approach provides a unified treatment of the dependent variables and their unknown derivatives. All are treated as unknowns together to be solved for through simulating local and global flux conservation. Third, fluxes are balanced at cell interfaces without the use of interpolation or flux limiters. Fourth, flux conservation is achieved through the use of discrete regions known as conservation elements and solution elements. These elements are not the same as the standard control volumes used in the finite volume method. Fifth, the discrete approximation obtained on each solution element is a functional solution of both the integral and differential form of the Navier-Stokes equations. Finally, the method that is presented is a highly localized approach in which the coupling to nearby cells is only in one direction for each spatial coordinate, and involves only the immediately adjacent cells. A general third-order formulation for the steady, compressible Navier-Stokes equations is presented, and then a Newton's method scheme is developed for the solution of incompressible, low Reynolds number channel flow. It is shown that the Jacobian matrix is nearly block diagonal if the nonlinear system of discrete equations is arranged approximately and a proper pivoting strategy is used. Numerical results are presented for Reynolds numbers of 100, 1000, and 2000. Finally, it is shown that the present scheme can resolve the developing channel flow boundary layer using as few as six to ten cells per channel wi...
Download or read book Space Time Methods written by Ulrich Langer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-23 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.
Download or read book The Implicit and Explicit Alpha Mu Schemes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-16 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial numerical dissipation is an important issue in large Reynolds number computations. In such computations, the artificial dissipation inherent in traditional numerical schemes can overwhelm the physical dissipation and yield inaccurate results on meshes of practical size. In the present work, the space-time conservation element and solution element method is used to construct new and accurate numerical schemes such that artificial numerical dissipation will not overwhelm physical dissipation. Specifically, these schemes have the property that numerical dissipation vanishes when the physical viscosity goes to zero. These new schemes therefore accurately model the physical dissipation even when it is extremely small. The method of space-time conservation element and solution element, currently under development, is a nontraditional numerical method for solving conservation laws. The method is developed on the basis of local and global flux conservation in a space-time domain, in which space and time are treated in a unified manner. Explicit solvers for model and fluid dynamic conservation laws have previously been investigated. In this paper, we introduce a new concept in the design of implicit schemes, and use it to construct two highly accurate solvers for a convection-diffusion equation. The two schemes become identical in the pure convection case, and in the pure diffusion case. The implicit schemes are applicable over the whole Reynolds number range, from purely diffusive equations to purely inviscid (convective) equations. The stability and consistency of the schemes are analyzed, and some numerical results are presented. It is shown that, in the inviscid case, the new schemes become explicit and their amplification factors are identical to those of the Leapfrog scheme. On the other hand, in the pure diffusion case, their principal amplification factor becomes the amplification factor of the Crank-Nicolson scheme. We also construct an explicit solver wi...
Download or read book THE ROLE OF COMPUTATIONAL FLUID DYNAMICS AT MARSHALL SPACE FLIGHT CENTER NASA TM 1998 208102 MAR 1 1999 written by United States. National Aeronautics and Space Administration and published by . This book was released on 1999* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fiscal Year Budget written by United States. Department of Education and published by . This book was released on 1995 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intention and Agency written by Donald F. Gustafson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The powers of seeing, hearing, re membering, distinguishing, judging, reason ing, are speculative powers; the power of ex ecuting any work of art or labour is active power. Thomas Reid I Some causal efficacy is due to persons. And, some of the causal efficacy due to persons is imparted by, not merely to, them. Further, some of the causal efficacy due to persons and imparted by them is imparted by and not merely to their physical, active bodies. Otherwise there is no agency. I will assume, with everyone at the outset, that the world contains agency of the kind found in some of a person's comings and goings, movings and changing of things. Agency is exhibited in more and in less sophisticated forms, that is, in any sophisticated, artful activity and in less complex, non-articulate physical activities. In both there appears to be more than mere causal efficacy imparted to the environment by a person. In sophisticated agen cy activities are organized, guided, purposive and purposeful comings and goings, movings and changes. And purpose is not absent in less soph isticated purposive activities of active creatures. So I shall argue in what follows. Now is the time for introducing the themes, topics, and issues to be considered, and the plan and purpose in them.
Download or read book US Wartime Aid to Britain 1940 1946 written by Alan P. Dobson and published by Routledge. This book was released on 2021-11-21 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 1986, examines the American economic aid that was a vital factor in enabling Britain’s success in the Second World War. Whilst Lend-Lease did keep the British war effort alive, the agreement was always a source of great friction between the two countries. This book argues that although Lend-Lease solved Britain’s wartime supply problems, the price was the acceptance of a series of burdens that seriously aggravated the country’s long-term economic decline.
Download or read book Reflection and Action written by Nathan Rotenstreich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Roderick M Chisholm written by R. Bogdan and published by Springer Science & Business Media. This book was released on 1986-04-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this series is to inform both professional philosophers and a larger readership (of social and natural scientists, methodologists, mathematicians, students, teachers, publishers, etc. ) about what is going on, who's who, and who does what in contemporary philosophy and logic. PROFILES is designed to present the research activity and the results of already outstanding personalities and schools and of newly emerging ones in the various fields of philosophy and logic. There are many Festschrift volumes dedicated to various philosophers. There is the celebrated Library oj Living Phi/osophers edited by P. A. Schilpp whose format influenced the present enterprise. Still they can only cover very little of the contemporary philosophical scene. Faced with a tremendous expansion of philosophical information and with an almost frightening division of labor and increasing specialization we need systematic and regular ways of keeping track of wh at happens in the profession. PRO FILES is intended to perform such a function. Each volume is devoted to one or several philosophers whose views and results are presented and discussed. The profiled philosopher(s) will summarize and review his (their) own work in the main fields of signifi cant contribution. This work will be discussed and evaluated by invited contributors. Relevant historical and/or biographical data, an up-to date bibliography with short abstracts of the most important works and, whenever possible, references to significant reviews and discussions will also be included.
Download or read book The Foundations of Ethics written by Leroy S. Rouner and published by . This book was released on 1983 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
