A TensorFlow Simulation Framework for Scientific Computing of Fluid Flows on Tensor Processing Units

by   Qing Wang, et al.

A computational fluid dynamics (CFD) simulation framework for predicting complex flows is developed on the Tensor Processing Unit (TPU) platform. The TPU architecture is featured with accelerated performance of dense matrix multiplication, large high bandwidth memory, and a fast inter-chip interconnect, which makes it attractive for high-performance scientific computing. The CFD framework solves the variable-density Navier-Stokes equation using a Low-Mach approximation, and the governing equations are discretized by a finite difference method on a collocated structured mesh. It uses the graph-based TensorFlow as the programming paradigm. The accuracy and performance of this framework is studied both numerically and analytically, specifically focusing on effects of TPU-native single precision floating point arithmetic on solution accuracy. The algorithm and implementation are validated with canonical 2D and 3D Taylor Green vortex simulations. To demonstrate the capability for simulating turbulent flows, simulations are conducted for two configurations, namely the decaying homogeneous isotropic turbulence and a turbulent planar jet. Both simulations show good statistical agreement with reference solutions. The performance analysis shows a linear weak scaling and a super-linear strong scaling up to a full TPU v3 pod with 2048 cores.



There are no comments yet.


page 8

page 15

page 22

page 25


Large Scale Distributed Linear Algebra With Tensor Processing Units

We have repurposed Google Tensor Processing Units (TPUs), application-sp...

Machine learning accelerated computational fluid dynamics

Numerical simulation of fluids plays an essential role in modeling many ...

High Performance Monte Carlo Simulation of Ising Model on TPU Clusters

Large scale deep neural networks profited from an emerging class of AI a...

tcFFT: Accelerating Half-Precision FFT through Tensor Cores

Fast Fourier Transform (FFT) is an essential tool in scientific and engi...

Fast Stencil-Code Computation on a Wafer-Scale Processor

The performance of CPU-based and GPU-based systems is often low for PDE ...

Accelerating Eulerian Fluid Simulation With Convolutional Networks

Efficient simulation of the Navier-Stokes equations for fluid flow is a ...

Sensitivity Analysis in the Dupire Local Volatility Model with Tensorflow

In a recent paper, we have demonstrated how the affinity between TPUs an...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.