Find this at http://www.npac.syr.edu/users/gcf/cps713overII94/

Overview of CFD and Numerical Relativity Case Study

CFD (Computational Fluid Dynamics) and NR (Numerical Relativity) both involve the solution of second order partial differential equations (PDE's) describing physical phenomena.

This case study will study both applications and then look at the computer science (computational) issues which are both common and distinct.

This will allow us to study the requirements of a computational toolkit for general solution of second order PDE's.

These two applications are by no means the only applications but they cover a broad range of issues.

CFD can be defined narrowly as confined to aerodynamic flow around vehicles but it can be generalized to include as well such areas as weather and climate simulation, flow of pollutants in the earth, and flow of liquids in oil fields (reservoir modelling).

CPS713Overview94Master   Master set for Case Studies of Computational 
                          Science -- Overview of 3 Areas (Monte 
                          Carlo,CFD/Numerical Relativity,Information 
                          Age)
GeneralResFoils96        Miscellaneous Presentation Material used in 
                          1996
Ida Industry Survey-1    Part A:Overview of HPCC Applications in 
                          Industry for Halloween IDA Presentation
CPS615F95                Background in Partial Differential Equations 
                          with attention to CFD

Table of Contents for Overview of CFD and Numerical Relativity Case Study

• An appropriate introduction to PDE's and CFD is
  • CPS615 Module on Iterative PDE Solvers
  • Background in Partial Differential Equations with attention to CFD
  • CPS615 Finite Element and Conjugate Gradient Presentation
• A specially introduction to numerical relativity is Slitex Scott Klasky Presentation on Binary Black Hole Collision

  ---

• This combined introduction leads onto four other foilsets
  • CFD discussed using NAS benchmarks Introduction to Physics and Numerics of NAS Benchmarks
  • Basic ADI PDE Solvers Spatial Differencing and ADI Solution of the NAS Benchmarks
  • More advanced PDE Solvers Further PDE Solvers for the NAS Benchmarks
  • A more detailed Numerical Relativity discussion Detailed Discussion of Numerical Formulation and Solution of Collision 0f two Black Holes

• NAS Benchmark Home Page Generak Resource: Homepage for NAS Benchmarks with pointer to latest performance figures
• Seminal Paper on "Pencil and Paper" Banchmarks: Specification of Pencil and Paper NAS Benchmarks
• CFD and Navier Stokes Derived in fashion suitable for NAS Benchmarks: General Discussion of CFD Equations needed for NAS Benchmarks
• Analysis of NAS Benchmarks from CFD Point of View: A Discussion of NAS Benchmarks from CFD Point of View

• NPAC (and Pointer to rest of Grand Challenge) Activities in Numerical Relativity: Numerical Relativity Resources at NPAC
• Basic Introduction to Numerical Relativity for nonspecialist: Introduction to Relativity for Computer Scientist
• Introduction to Pittsburgh Wave Evolution Code: Introduction to Pittsburgh Wave Evolution Code for Computer Scientist
• Pittsburgh's Orinal Paper: Pittsburgh's Original Description of Their Wave Equation Evolution
• The Original Code: Pittsburgh's Original Fortran77 Code
• NPAC's base F90 version of Pittsburgh Code: Fortran90 Implementation of Pittsburgh Code
• NPAC's HPF version of Pittsburgh Code: HPF Implementation of Pittsburgh Code

• An early discussion Computational Toolkit for CFD and Colliding Black Holes

  ---

   CPS713Overview94Master 021 001 CPS 713--Case study II
                                  August to December1994 - Case 
                                  Studies in Computational Science
                                  -- Overview of Second Case Study
                                  CFD and Numerical Relativity
   CPS713Overview94Master 022 002 Abstract for CPS713 Case Study II) 
                                  Computational Fluid Dynamics and 
                                  Numerical Relativity
   CPS713Overview94Master 023 003 Further Remarks on CPS713 Case Study
                                   II) Computational Fluid Dynamics 
                                  and Numerical Relativity 
   CPS713Overview94Master 024 004 Overview of Topics in CPS713 Case 
                                  Study II) Computational Fluid 
                                  Dynamics and Numerical Relativity

        GeneralResFoils96 033 005 NASA's Projection of Memory and 
                                  Computational Requirements upto 
                                  Petaflops for Aerospace Applications
        GeneralResFoils96 031 006 Petaflop Performance for Flow in 
                                  Porous Media?
        GeneralResFoils96 032 007 Target Flow in Porous Media Problem 
                                  (Glimm - Petaflop Workshop)

• Homepage for NAS Benchmarks with pointer to latest performance figures

   CPS713Overview94Master 025 008 CPS713 Case Study II)CFD+NNR -- 
                                  Motivation of The NAS Benchmarks
   CPS713Overview94Master 026 009 CPS713 Case Study II) --Use of The 
                                  NAS Benchmarks

• Computational Toolkit for CFD and Colliding Black Holes

   CPS713Overview94Master 027 010 CPS713 Case Study II) -- Overview of
                                   Computational Toolkit Issues

• Numerical Relativity Resources at NPAC
• The overview has updated by Scott Klassky february 1996 -- Slitex Scott Klasky Presentation on Binary Black Hole Collision

   CPS713Overview94Master 028 011 CPS713 Case Study II) -- Remainder 
                                  of Basic Module (What will be in The
                                   Long Discussion of Subject after 
                                  one lecture Overview)
   CPS713Overview94Master 029 012 CPS713 Case Study II) Overview 
                                  Features of Numerical Relativity
   CPS713Overview94Master 030 013 CPS713 Case Study II) Comparison of 
                                  Numerical Relativity with Maxwell's 
                                  Equations
   CPS713Overview94Master 031 014 CPS713 Case Study II) Computational 
                                  Features of Numerical Relativity
   CPS713Overview94Master 032 015 CPS713 Case Study II) Computational 
                                  Features of Numerical Relativity 
                                  (Contd) -- Singularity Structure
   CPS713Overview94Master 033 016 CPS713 Case Study II) Computational 
                                  Features of Numerical Relativity 
                                  (Contd) -- Black Hole Boundary 
                                  Condition

   CPS713Overview94Master 034 017 CPS713 Case Study II) Computational 
                                  Needs for CFD and Numerical 
                                  Relativity
    Ida Industry Survey-1 040 018 The Mapping of Heterogeneous 
                                  Metaproblems onto Heterogeneous 
                                  Metacomputer Systems
    Ida Industry Survey-1 039 019 Software Bus Structure of USMADE
                CPS615F95 018 020 NASA Estimates of Computational 
                                  Needs 1994
                CPS615F95 019 021 NASA's Estimate of Computing Needs 
                                  for Reynolds Averaged Approximation 
                                  (1994)
                CPS615F95 020 022 Results for the LU Simulated CFD 
                                  Application of NAS Benchmark for 
                                  Cray YMP, iPSC860, CM2
                CPS615F95 021 023 Results for the SP Simulated CFD 
                                  Application of NAS Benchmarks for 
                                  Cray YMP, iPSC860 and CM2
                CPS615F95 022 024 Results for the BT Simulated CFD 
                                  Application of NAS Benchmarks for 
                                  Cray YMP, iPSC860 and CM2
                CPS615F95 023 025 Multidisciplinary Simulations: 
                                  Structures, Propulsion,Controls, 
                                  Acoustics
                                  Increase in memory and CPU 
                                  requirements over baseline CFD 
                                  simulation
                CPS615F95 024 026 Base CFD Requirements for GigaFlops 
                                  and Run-time Memory Megawords 
                                  to give a 5 hour Execution Time
                                  and Increase needed for 
                                  Multidisciplinary Simulations:
                                  Structures, Propulsion and Controls

   CPS713Overview94Master 035 027 CPS713 Case Study II) Some Common 
                                  Issues between CFD and Numerical 
                                  Relativity
   CPS713Overview94Master 036 028 CPS713 Case Study II) Computer 
                                  Science Support for CFD and NR -- 
                                  Portable Scalable Software Tools
   CPS713Overview94Master 037 029 CPS713 Case Study II) Further 
                                  Computer Science Issues for CFD and 
                                  NR Computational Toolkit
   CPS713Overview94Master 038 030 CPS713 Case Study II) Specific 
                                  Toolkit Modules Needed
   CPS713Overview94Master 039 031 CPS713 Case Study II) Specific 
                                  Toolkit Modules Needed -- Parallel 
                                  Grid Generation
                CPS615F95 017 032 This is a typical non-uniform grid 
                                  used to define an aircraft

List of Foils Used as they occur

CPS713Overview94Master   Master set for Case Studies of Computational 
                          Science -- Overview of 3 Areas (Monte 
                          Carlo,CFD/Numerical Relativity,Information 
                          Age)

GeneralResFoils96        Miscellaneous Presentation Material used in 
                          1996

Ida Industry Survey-1    Part A:Overview of HPCC Applications in 
                          Industry for Halloween IDA Presentation

CPS615F95                Background in Partial Differential Equations 
                          with attention to CFD

CPS713Overview94Master   Master set for Case Studies of Computational 
                          Science -- Overview of 3 Areas (Monte 
                          Carlo,CFD/Numerical Relativity,Information 
                          Age)

GeneralResFoils96        Miscellaneous Presentation Material used in 
                          1996

Ida Industry Survey-1    Part A:Overview of HPCC Applications in 
                          Industry for Halloween IDA Presentation

CPS615F95                Background in Partial Differential Equations 
                          with attention to CFD