Numerical solution of two-dimensional ablation problems using the finite control volume method with unstructured grids

Hogan, Robert; Blackwell, B.F.; Cochran, R. J.

doi:10.2514/6.1994-2085

Cited by 5 publications

(1 citation statement)

References 4 publications

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“…Verification has been performed on computational physics codes associated with several fluid dynamics phenomena, including laminar flows 6 , turbulent flows [7][8][9][10][11][12] , flows with finite Knudsen numbers 13 , viscous flows in shock tubes 14 , hypersonic reacting flows 15 , dense gasparticle flows 16 , fluid-structure interaction 17 , heat transfer in fluid-solid interaction 18 , multiphase flows 19 , and radiation hydrodynamics 20 , as well as on the discretization of the gradient operator for finite volume methods 21 . Code-verification techniques for ablation have been presented by Hogan et al 22 , Blackwell and Hogan 23 , and Amar et al [24][25][26] for simple exact solutions. Additionally, a manufactured solution for heat conduction is presented in Amar et al 26 .…”

Section: Introductionmentioning

confidence: 99%

Nonintrusive manufactured solutions for ablation

2021

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The first step towards establishing credibility in computational physics simulations involves code verification, which is typically performed using exact and manufactured solutions. However, exact solutions are typically limited, and manufactured solutions generally require the invasive introduction of an artificial forcing term within the source code, such that the code solves a modified problem for which the solution is known. For some physics phenomena, such as non-decomposing ablation, there are many possible exact solutions to the governing equations, but the boundary conditions may render these impractical and eliminate such conveniences as separation of variables. For such phenomena, however, we can manufacture the terms that comprise the boundary conditions to obtain exact solutions. In this paper, we present a nonintrusive method for manufacturing solutions for non-decomposing ablation in two dimensions, which does not require the addition of a source term.

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