Physics Colloquium Oct 29 1998 based on Binary Black Hole (BBH) Computational Grand Challenge |
1. Understand black holes & gravity waves |
2. Learn the Einstein field equations |
3. Convert eqns. To eqns. We evolve numerically |
4. Model these equations on a computer |
5. Modeling black holes |
6. Understand the inner boundary |
7. Understand the outer boundary |
8. Putting it together |
9. Model the elliptic pde's |
10. Build computational infrastructure |
To really model 2 black holes, we better understand the "real" problems!! |
001 10 Easy? Steps to Model a Black Hole 002 The 10 Steps 003 Step 0: Motivation 004 0: Background: Binary Black Hole Grand Challenge 005 0:astrophysical Sources of Gravitational Waves 006 0:Gravitational Wave Detectors 007 1: What Are Black Holes? 008 1:Event Horizons 009 1:Apparent Horizons 010 2:Einstein Field Equations 011 3: 3+1 Decomposition of Spacetime 012 3: ADM 3+1 Form 013 3:ADM 3+1 form (cont.) 014 3:Casual differencing 015 3:Description of causal differencing 016 3:Description of CD (continued) 017 4: Computational Solutions 018 4:Computational Solutions 019 4:Computational Solutions (cont.) 020 4:Computational Solutions (cont.) 021 5: Modeling Black Holes 022 5:Modeling Black Holes 023 5: Modeling black holes (picture) 024 5: Modeling black holes (picture) 025 6: The Inner Boundary 026 6: The Inner Boundary (cont.) 027 6: The inner boundary+causal differencing 028 6: Inner boundary + causal differencing 029 6: The Inner Boundary 030 7:Outer Boundary 031 7:Blended Dirchlet Outer boundary 032 8: Putting it together 033 8:Non-Moving Black Holes (Centered) 034 8:Non-Moving Black Holes (Centered) 035 8:Non-Moving Black Holes (Centered) 036 8:Non-Moving Black Holes (Centered) 037 8:Boosted Black Holes 038 8:Boosted Black Holes 039 9:Elliptic Problems 040 10:Computational Infrastructure 041 10: DAGH 042 10: Visualization Software (Ki, Klasky) 043 10: SV2 System Architecture 044 Major Obstacles