Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722830915
Category :
Languages : en
Pages : 60
Book Description
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...
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
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722830915
Category :
Languages : en
Pages : 60
Book Description
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...
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722830915
Category :
Languages : en
Pages : 60
Book Description
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...
The Space-Time Conservation Element and Solution Element Method
Author: National Aeronautics and Space Adm Nasa
Publisher:
ISBN: 9781731326898
Category :
Languages : en
Pages : 126
Book Description
A new high resolution and genuinely multidimensional numerical method for solving conservation laws is being, developed. It was designed to avoid the limitations of the traditional methods. and was built from round zero with extensive physics considerations. Nevertheless, its foundation is mathmatically simple enough that one can build from it a coherent, robust. efficient and accurate numerical framework. Two basic beliefs that set the new method apart from the established methods are at the core of its development. The first belief is that, in order to capture physics more efficiently and realistically, the modeling, focus should be placed on the original integral form of the physical conservation laws, rather than the differential form. The latter form follows from the integral form under the additional assumption that the physical solution is smooth, an assumption that is difficult to realize numerically in a region of rapid chance. such as a boundary layer or a shock. The second belief is that, with proper modeling of the integral and differential forms themselves, the resulting, numerical solution should automatically be consistent with the properties derived front the integral and differential forms, e.g., the jump conditions across a shock and the properties of characteristics. Therefore a much simpler and more robust method can be developed by not using the above derived properties explicitly. Chang, Sin-Chung and Wang, Xiao-Yen and Chow, Chuen-Yen Glenn Research Center SPACE-TIME FUNCTIONS; CONSERVATION; SHOCK WAVES; RELATIVITY; HIGH RESOLUTION; CONSERVATION LAWS; BOUNDARY LAYERS; FLUX DENSITY...
Publisher:
ISBN: 9781731326898
Category :
Languages : en
Pages : 126
Book Description
A new high resolution and genuinely multidimensional numerical method for solving conservation laws is being, developed. It was designed to avoid the limitations of the traditional methods. and was built from round zero with extensive physics considerations. Nevertheless, its foundation is mathmatically simple enough that one can build from it a coherent, robust. efficient and accurate numerical framework. Two basic beliefs that set the new method apart from the established methods are at the core of its development. The first belief is that, in order to capture physics more efficiently and realistically, the modeling, focus should be placed on the original integral form of the physical conservation laws, rather than the differential form. The latter form follows from the integral form under the additional assumption that the physical solution is smooth, an assumption that is difficult to realize numerically in a region of rapid chance. such as a boundary layer or a shock. The second belief is that, with proper modeling of the integral and differential forms themselves, the resulting, numerical solution should automatically be consistent with the properties derived front the integral and differential forms, e.g., the jump conditions across a shock and the properties of characteristics. Therefore a much simpler and more robust method can be developed by not using the above derived properties explicitly. Chang, Sin-Chung and Wang, Xiao-Yen and Chow, Chuen-Yen Glenn Research Center SPACE-TIME FUNCTIONS; CONSERVATION; SHOCK WAVES; RELATIVITY; HIGH RESOLUTION; CONSERVATION LAWS; BOUNDARY LAYERS; FLUX DENSITY...
The Space-Time Conservation Element and Solution Element Method-A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws
Author: Xiao-Yen Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
Book Description
The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 130
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 130
Book Description
Monthly Catalog of United States Government Publications
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1154
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1154
Book Description
Sixteenth International Conference on Numerical Methods in Fluid Dynamics
Author: Charles-Henri Bruneau
Publisher: Springer
ISBN: 9783540651536
Category : Science
Languages : en
Pages : 592
Book Description
This book covers a wide area of topics, from fundamental theories to industrial applications. It serves as a useful reference for all interested in computational modeling of partial differential equations pertinent primarily to aeronautical applications. The reader will find five survey articles on cartesian mesh methods, on numerical studies of turbulent boundary layers, on efficient computation of compressible flows, on the use of Riemann-solvers and on numerical procedures in complex flows.
Publisher: Springer
ISBN: 9783540651536
Category : Science
Languages : en
Pages : 592
Book Description
This book covers a wide area of topics, from fundamental theories to industrial applications. It serves as a useful reference for all interested in computational modeling of partial differential equations pertinent primarily to aeronautical applications. The reader will find five survey articles on cartesian mesh methods, on numerical studies of turbulent boundary layers, on efficient computation of compressible flows, on the use of Riemann-solvers and on numerical procedures in complex flows.
41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit 10-13 July 2005, Tucson, Arizona: 05-4350 - 05-4399
Author:
Publisher:
ISBN:
Category : Airplanes
Languages : en
Pages : 570
Book Description
Publisher:
ISBN:
Category : Airplanes
Languages : en
Pages : 570
Book Description
A New Numerical Framework for Solving Conservation Laws: The Method of Space-time Conservation Element and Solution Element
Author: Sin-Chung Chang
Publisher:
ISBN:
Category : Conservation laws (Mathematics)
Languages : en
Pages : 118
Book Description
Publisher:
ISBN:
Category : Conservation laws (Mathematics)
Languages : en
Pages : 118
Book Description
Proceedings of the 2003 ASME Summer Heat Transfer Conference
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 858
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 858
Book Description
THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD: A NEW HIGH-RESOLUTION AND GENUINELY MULTIDIMENSIONAL... NASA/TM-1998-208844
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description