Code Verification by the Method of Manufactured Solutions

By K. Salari, Patrick M. Knupp. 2000

669 citations recorded by the source corpus.

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A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, methodology): “The most complete definition of verification ensures both order of accuracy and consistency (solution approaches continuum form as discretization approaches zero) of the method [314].”
Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4 (2007, methodology): “This behaviour is also observed in Soria et al. (2004). In the top parts of figures 20 and 21, two-dimensional results at Ra = 2 × 10(9) and Ra = 10(10), respectively, are presented.”
Measures of agreement between computation and experiment: Validation metrics (2004, neutral): “[2,5,7–9] for further discussion of code veriﬁcation.)”
Review of code and solution verification procedures for computational simulation (2005, methodology): “An extensive discussion of manufactured solutions for code verification was presented by Salari and Knupp [10], and includes both details of the method as well as application to a variety of partial differential equation sets.”
Verification and Validation in Computational Fluid Dynamics (2002, methodology): “First, the ‘‘Method of Manufactured Solutions’’ (MMS) [278,289,307,320] is a method of custom-designing verification test problems of wide applicability.”