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A CUDA-based GPU engine for gprMax: Open source FDTD electromagnetic simulation software

DOI:10.1016/j.cpc.2018.11.007 期刊:Computer Physics Communications 出版年份:2018 更新时间:2025-09-11 14:15:04
摘要: The Finite-Difference Time-Domain (FDTD) method is a popular numerical modelling technique in computational electromagnetics. The volumetric nature of the FDTD technique means simulations often require extensive computational resources (both processing time and memory). The simulation of Ground Penetrating Radar (GPR) is one such challenge, where the GPR transducer, subsurface/structure, and targets must all be included in the model, and must all be adequately discretised. Additionally, forward simulations of GPR can necessitate hundreds of models with different geometries (A-scans) to be executed. This is exacerbated by an order of magnitude when solving the inverse GPR problem or when using forward models to train machine learning algorithms. We have developed one of the first open source GPU-accelerated FDTD solvers specifically focussed on modelling GPR. We designed optimal kernels for GPU execution using NVIDIA’s CUDA framework. Our GPU solver achieved performance throughputs of up to 1194 Mcells/s and 3405 Mcells/s on NVIDIA Kepler and Pascal architectures, respectively. This is up to 30 times faster than the parallelised (OpenMP) CPU solver can achieve on a commonly-used desktop CPU (Intel Core i7-4790K). We found the cost-performance benefit of the NVIDIA GeForce-series Pascal-based GPUs – targeted towards the gaming market – to be especially notable, potentially allowing many individuals to benefit from this work using commodity workstations. We also note that the equivalent Tesla-series P100 GPU – targeted towards data-centre usage – demonstrates significant overall performance advantages due to its use of high-bandwidth memory. The performance benefits of our GPU-accelerated solver were demonstrated in a GPR environment by running a large-scale, realistic (including dispersive media, rough surface topography, and detailed antenna model) simulation of a buried anti-personnel landmine scenario.
作者: Craig Warren,Antonios Giannopoulos,Alan Gray,Iraklis Giannakis,Alan Patterson,Laura Wetter,Andre Hamrah
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To develop a GPU-accelerated FDTD solver for modelling Ground Penetrating Radar (GPR) using NVIDIA’s CUDA framework, aiming to significantly reduce computational time and resources required for simulations.

The GPU-accelerated FDTD solver developed in this study significantly outperforms the parallelised (OpenMP) CPU solver, achieving performance throughputs up to 30 times faster on NVIDIA GPUs. The solver's performance is largely dependent on the memory bandwidth of the GPU, with the Tesla P100 GPU demonstrating the best performance due to its high-bandwidth memory. The cost-performance benefit of the GeForce-series GPUs makes this work accessible to many individuals using commodity workstations. The solver is expected to advance GPR research in areas such as full-waveform inversion and machine learning, where many forward simulations are required.

The study acknowledges that the FDTD method can suffer from errors due to 'stair-case' approximations of complex geometrical details and requires extensive computational resources for discretising the entire computational domain. Additionally, the performance of the GPU kernels is largely dependent on the memory bandwidth of the GPU, which may limit the scalability of the solver for very large models.

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