scholarly journals Synthesis of absorbing boundary conditions for the FDTD method: numerical results

1995 ◽  
Vol 43 (2) ◽  
pp. 213-215 ◽  
Author(s):  
E.N.M. Tromp ◽  
J.C. Olivier
Keyword(s):  
Boundary Conditions ◽  
Fdtd Method ◽  
Absorbing Boundary Conditions ◽  
Numerical Results ◽  
Absorbing Boundary

scholarly journals Performance advantages of CPML over UPML absorbing boundary conditions in FDTD algorithm

2017 ◽  
Vol 68 (1) ◽  
pp. 47-53 ◽  
Author(s):  
Branko D. Gvozdic ◽  
Dusan Z. Djurdjevic
Keyword(s):  
Boundary Conditions ◽  
Electromagnetic Waves ◽  
Fdtd Method ◽  
Absorbing Boundary Conditions ◽  
Numerical Code ◽  
Computational Domain ◽  
Absorbing Boundary ◽  
Simulation Performance ◽  
Efficient Type ◽  
Computer Resources

Abstract Implementation of absorbing boundary condition (ABC) has a very important role in simulation performance and accuracy in finite difference time domain (FDTD) method. The perfectly matched layer (PML) is the most efficient type of ABC. The aim of this paper is to give detailed insight in and discussion of boundary conditions and hence to simplify the choice of PML used for termination of computational domain in FDTD method. In particular, we demonstrate that using the convolutional PML (CPML) has significant advantages in terms of implementation in FDTD method and reducing computer resources than using uniaxial PML (UPML). An extensive number of numerical experiments has been performed and results have shown that CPML is more efficient in electromagnetic waves absorption. Numerical code is prepared, several problems are analyzed and relative error is calculated and presented.

scholarly journals OpenCL-Based FPGA Accelerator for 3D FDTD with Periodic and Absorbing Boundary Conditions

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Hasitha Muthumala Waidyasooriya ◽  
Tsukasa Endo ◽  
Masanori Hariyama ◽  
Yasuo Ohtera
Keyword(s):  
Boundary Conditions ◽  
Fdtd Method ◽  
Absorbing Boundary Conditions ◽  
Streaming Data ◽  
Absorbing Boundary ◽  
Data Flows ◽  
Real World Applications ◽  
Complex Boundary ◽  
Software Code ◽  
Difference Time

Finite difference time domain (FDTD) method is a very poplar way of numerically solving partial differential equations. FDTD has a low operational intensity so that the performances in CPUs and GPUs are often restricted by the memory bandwidth. Recently, deeply pipelined FPGA accelerators have shown a lot of success by exploiting streaming data flows in FDTD computation. In spite of this success, many FPGA accelerators are not suitable for real-world applications that contain complex boundary conditions. Boundary conditions break the regularity of the data flow, so that the performances are significantly reduced. This paper proposes an FPGA accelerator that computes commonly used absorbing and periodic boundary conditions in many 3D FDTD applications. Accelerator is designed using a “C-like” programming language called OpenCL (open computing language). As a result, the proposed accelerator can be customized easily by changing the software code. According to the experimental results, we achieved over 3.3 times and 1.5 times higher processing speed compared to the CPUs and GPUs, respectively. Moreover, the proposed accelerator is more than 14 times faster compared to the recently proposed FPGA accelerators that are capable of handling complex boundary conditions.

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