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Center for Nonlinear Studies |
Computer simulations have revolutionized the world of science and engineering, but they also introduce their own problems. In order to better utilize simulation tools in preliminary and conceptual design, we apply Hui’s Unified Coordinate System (UCS) to fluid dynamical problems, thus enabling us to bypass the tedious process of grid generation. We introduce a new form of code verification using an integral method of manufactured solutions (IMMS) in order to quantify the effects of UCS on simulation accuracy. IMMS is shown to be consistent with traditional verification methods for smooth solutions and with theory for solutions containing shocks and other discontinuities. Preliminary UCS verification results are presented, which demonstrate some problems with the original UCS algorithm. Mitigation strategies are suggested. Overall, UCS continues to show promise for early-design simulations and IMMS is recommended for verification of codes in the presence of shocks and other discontinuities.
Host: Misha Shashkov