From 4d9d76afd3f47ef50cfe636e1ae76b7233d971a7 Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Wed, 10 Jul 2019 00:02:24 +0200
Subject: Add README.md

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+# Symbolically generated GPU-based LBM
+
+Experimental generation of OpenCL kernels using SymPy, Mako and PyOpenCL.
+
+* Implements a straight forward AB pattern
+* All memory offsets are statically resolved
+* Underlying symbolic formulation is optimized using CSE
+* Characteristic constants of D2Q9 and D3Q27 are transparently recovered using only discrete velocities
+
+## Performance
+
+Theoretical maximum performance on tested hardware:
+
+| GPU    | Bandwidth   | D2Q9   |   | D3Q19  |   | D3Q27  |   | 
+| ------ | ----------- | ------ | ------ | ------ | ------ | ------ | ------ |
+|   |        | single | double | single | double | single | double | 
+| K2200  | 63.2 GiB/s  | 893    | 459    | 435    |  220   |  308   | 156    |
+| P100   | 512.6 GiB/s | 7242   | 3719   | 3528   | 1787   | 2502   | 1262   |
+
+### Maximum measured performance...
+
+| GPU    | D2Q9   |   | D3Q19  |   | D3Q27  |   |
+| ------ | ------ | ------ | ------ | ------ | ------ | ------ |
+|   | single | double | single | double | single | double |
+| K2200  | 843.4  | 326.4  | 423.2  | 163.8  | 303.0  | 116.0  |
+| P100   | 6957.4 | 3585.0 | 3420.2 | 1763.8 | 2374.6 | 1259.6 |
+
+### ...relative to theoretical maximum
+
+| GPU    | D2Q9   |   | D3Q19  |   | D3Q27  |   |
+| ------ | ------ | ------ | ------ | ------ | ------ | ------ |
+|   | single | double | single | double | single | double |
+| K2200  | 94.4%  | 71.1%  | 97.3%  | 74.5%  | 98.4%  | 74.4%  |
+| P100   | 96.1%  | 96.4%  | 96.9%  | 98.7%  | 94.9%  | 99.8%  |
+
+### CSE impact on P100
+
+| CSE    | D2Q9   |   | D3Q19  |   | D3Q27  |   |
+| ------ | ------ | ------ | ------ | ------ | ------ | ------ |
+|   | single | double | single | double | single | double |
+| No     | 6957.4 | 2814.4 | 2581.8 |  998.8 | 1576.4 |  647.4 |
+| Yes    | 6922.4 | 3585.0 | 3420.2 | 1763.8 | 2374.6 | 1259.6 |
+
+| CSE    | D2Q9   |   | D3Q19  |   | D3Q27  |   |
+| ------ | ------ | ------ | ------ | ------ | ------ | ------ |
+|   | single | double | single | double | single | double |
+| No     | 96.1%  | 75.7%  | 73.2%  | 55.9%  | 63.0%  | 51.3%  |
+| Yes    | 95.6%  | 96.4%  | 96.9%  | 98.7%  | 94.9%  | 99.8%  |
+
+For more details see the `results/` and `notebook/` directories.
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