Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Code-verification techniques for the method-of-moments implementation of the combined-field integral equation

Journal Article · · Journal of Computational Physics

Code verification plays an important role in establishing the credibility of computational simulations by assessing the correctness of the implementation of the underlying numerical methods. In computational electromagnetics, the numerical solution to integral equations incurs multiple interacting sources of numerical error, as well as other challenges, which render traditional code-verification approaches ineffective. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources for the method-of-moments implementation of the combined-field integral equation. Here, we demonstrate the effectiveness of these approaches for cases with and without coding errors.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
NA0003525
OSTI ID:
2311427
Alternate ID(s):
OSTI ID: 1975881
Report Number(s):
SAND--2023-06365J
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 488; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (44)

Verification of Euler/Navier–Stokes codes using the method of manufactured solutions journal February 2004
High degree efficient symmetrical Gaussian quadrature rules for the triangle journal June 1985
Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving journal April 2015
Symmetric triangle quadrature rules for arbitrary functions journal May 2020
Comparison of the performance of some finite element discretizations for large deformation elasticity problems journal June 2010
Some manufactured solutions for verification of fluid-structure interaction codes journal September 2012
Characterization and integration of the singular test integrals in the method‐of‐moments implementation of the electric‐field integral equation journal March 2021
Code verification for finite volume multiphase scalar equations using the method of manufactured solutions journal April 2012
Use of the method of manufactured solutions for the verification of conjugate heat transfer solvers journal February 2016
On code verification of RANS solvers journal April 2016
Code-verification techniques for hypersonic reacting flows in thermochemical nonequilibrium journal January 2021
Study of accuracy of a non-conformal finite element domain decomposition method journal March 2021
Manufactured solutions for the method-of-moments implementation of the electric-field integral equation journal October 2021
A deterministic verification strategy for electrostatic particle-in-cell algorithms in arbitrary spatial dimensions using the method of manufactured solutions journal January 2022
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation journal February 2022
Nonintrusive manufactured solutions for non-decomposing ablation in two dimensions journal August 2022
Analytical formulas for verification of aerodynamic force and moment computations journal October 2022
Time-adaptive partitioned method for fluid-structure interaction problems with thick structures journal January 2023
Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics journal February 2023
Code-verification techniques for the method-of-moments implementation of the magnetic-field integral equation journal April 2023
Manufactured solutions for the radiation-hydrodynamics equations journal October 2008
Nonintrusive manufactured solutions for ablation journal January 2021
Moderate Degree Symmetric Quadrature Rules for the Triangle journal January 1975
On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle journal January 1993
Simple and Efficient Numerical Evaluation of Near-Hypersingular Integrals journal January 2008
An Improved Transformation and Optimized Sampling Scheme for the Numerical Evaluation of Singular and Near-Singular Potentials journal January 2008
Electromagnetic scattering by surfaces of arbitrary shape journal May 1982
Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains journal March 1984
Calculation of cfie impedance matrix elements with RWG and n x RWG functions journal August 2003
Numerical evaluation of singular and near-singular potential Integrals journal October 2005
Optimized Numerical Evaluation of Singular and Near-Singular Potential Integrals Involving Junction Basis Functions journal January 2011
Numerical Evaluation via Singularity Cancellation Schemes of Near-Singular Integrals Involving the Gradient of Helmholtz-Type Potentials journal March 2013
DIRECTFN: Fully Numerical Algorithms for High Precision Computation of Singular Integrals in Galerkin SIE Methods journal June 2013
A Family of Augmented Duffy Transformations for Near-Singularity Cancellation Quadrature journal June 2013
Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments journal November 2013
Evaluation of 4-D Reaction Integrals in the Method of Moments: Coplanar Element Case journal May 2017
Evaluation of 4-D Reaction Integrals Via Double Application of the Divergence Theorem journal February 2019
Hybrid Integration Scheme for the Evaluation of Strongly Singular and Near-Singular Integrals in Surface Integral Equations journal October 2019
Verification of the Method-of-Moment Codes Using the Method of Manufactured Solutions journal August 2014
Code Verification by the Method of Manufactured Solutions journal November 2001
Manufactured Solution for Computational Fluid Dynamics Boundary Condition Verification journal September 2007
One-Dimensional Ablation Using a Full Newton's Method and Finite Control Volume Procedure journal January 2008
Development and Verification of a One-Dimensional Ablation Code Including Pyrolysis Gas Flow journal January 2009
Model Development and Code Verification for Simulation of Electrodynamic Tether System journal November 2009

Similar Records

Code-verification techniques for the method-of-moments implementation of the magnetic-field integral equation
Journal Article · Tue Jan 24 23:00:00 EST 2023 · Journal of Computational Physics · OSTI ID:2311680

Level 2 Milestone: Develop and Incorporate Novel Code Verification of Fundamental Equations in Gemma and Set Up Appropriate Tests
Technical Report · Sun Sep 01 00:00:00 EDT 2024 · OSTI ID:2462982

Manufactured solutions for an electromagnetic slot model
Journal Article · Mon Aug 12 00:00:00 EDT 2024 · Journal of Computational Physics · OSTI ID:2441133