Nonintrusive manufactured solutions for non-decomposing ablation in two dimensions

Code-Verification Techniques for the Method-of-Moments Implementation of the Combined-Field Integral Equation

“…The integration with respect to x in I E A (43), I E Φ (44), and I M (45) can be evaluated in terms of ξ on the n s surfaces where n • e y = 0. From Table 1, (∂x/∂ξ) j is constant, and |∂x/∂ξ| j = 1.…”

“…There are many examples of code verification in the literature for different computational physics disciplines. These disciplines include aerodynamics [20], fluid dynamics [21][22][23][24][25][26][27], solid mechanics [28], fluidstructure interaction [29,30], heat transfer in fluid-solid interaction [31], multiphase flows [32,33], radiation hydrodynamics [34], electrostatics [35], electrodynamics [36,37], magneto-hydrodynamics [38], and ablation [39][40][41][42][43]. For electromagnetic SIEs, code-verification activities that employ manufactured solutions have been limited to the EFIE [44][45][46][47] and, more recently, the MFIE [48].…”

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

“…Code verification has been performed on computational physics codes associated with several physics disciplines, including aerodynamics [20], fluid dynamics [21][22][23][24][25][26][27], solid mechanics [28], fluid-structure interaction [29], heat transfer in fluid-solid interaction [30], multiphase flows [31,32], radiation hydrodynamics [33], electrostatics [34], electrodynamics [35], and ablation [36][37][38][39][40]. For surface integral equations in computational electromagnetics, code-verification activities that employ manufactured solutions have been limited to the EFIE [41][42][43][44].…”