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Successive Procedure for Solution Verification Based on User Needs

by Justin R Weinmeister, Devina Sanjaya
Publication Type
Conference Paper
Book Title
Proceedings of the ASME 2024 Verification, Validation, and Uncertainty Quantification Symposium
Publication Date
Publisher Location
College Station, Texas, United States of America
Conference Name
Verification, Validation, and Uncertainty Quantification Symposium (VVUQ)
Conference Location
College Station, Texas, United States of America
Conference Sponsor
American Society of Mechanical Engineers
Conference Date
-

This paper discusses a revised solution verification procedure for computational fluid dynamics simulations to estimate the uncertainties in the quantities of interest based on discretization error models. This proposed procedure builds upon current procedures described in ASME V&V 20 but provides more guidance in determining the necessary number of mesh levels to build reliable discretization error models. Such guidance is particularly useful for practicing engineers without prior experience in solution verification. The key features of this proposed solution verification procedure are the ability to determine the need for additional mesh levels iteratively and the seamless treatment for underdetermined, exact, and overdetermined solutions of the power series approximation to the discretization error models. This study applies the proposed procedure to a set of synthetic examples to demonstrate the revised procedure’s clarity in determining the number of mesh solutions required for a reliable estimate of the discretization error in computational fluid dynamics settings. Additionally, this proposed procedure prevents a potential pathway in the current procedure in ASME V&V 20 that may lead to unreasonably small discretization errors.