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On Space-Time Inversion Invariance and its Relation to Non-Dissipatedness of a CESE Core Scheme

On Space-Time Inversion Invariance and its Relation to Non-Dissipatedness of a CESE Core Scheme

          
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About the Book

The core motivating ideas of the space-time CESE method are clearly presented and critically analyzed. It is explained why these ideas result in all the simplifying and enabling features of the CESE method. A thorough discussion of the a scheme, a two-level non-dissipative CESE solver of a simple advection equation with two independent mesh variables and two equations per mesh point is also presented. It is shown that the scheme possesses some rather intriguing properties such as: (i) its two independent mesh variables separately satisfy two decoupled three-level leapfrog schemes and (ii) it shares with the leapfrog scheme the same amplification factors, even though the a scheme and the leapfrog scheme have completely different origins and structures. It is also explained why the leapfrog scheme is not as robust as the a scheme. The amplification factors/matrices of several non-dissipative schemes are carefully studied and the key properties that contribute to their non-dissipatedness are clearly spelled out. Finally we define and establish space-time inversion (STI) invariance for several non-dissipative schemes and show that their non-dissipatedness is a result of their STI invariance. Chang, Sin-Chung Glenn Research Center NASA/TM-2006-214385, AIAA Paper 2006-4779, E-15663 WBS 489-02-07-03-01 INVARIANCE; DISSIPATION; SIMPLIFICATION; TIME; SPACE; AMPLIFICATION; ADVECTION; INVERSIONS; INDEPENDENT VARIABLES


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Product Details
  • ISBN-13: 9798672057347
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Height: 280 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 216 mm
  • ISBN-10: 8672057341
  • Publisher Date: 05 Aug 2020
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 109 gr


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