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- W3040858765 abstract "In this paper, we propose two techniques to estimate the magnitude of a machine-zero residual for a given problem, which is the smallest possible residual that can be achieved when we solve a system of discretized equations. We estimate the magnitude of the machine-zero residual by a norm of residuals computed with a randomly-perturbed approximate solution that is considered as close in magnitude to an exactly-converged solution. One method uses free-stream values as the approximate solution, and the other uses a current solution during an iterative solve as the approximate solution via the method of manufactured solutions. Numerical results show that these estimates predict the levels of machine-zero residuals very accurately for all equations of the Euler and Navier-Stokes equations in a transonic flow over an airfoil and viscous flows over a cylinder and a flat plate." @default.
- W3040858765 created "2020-07-16" @default.
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- W3040858765 date "2020-07-13" @default.
- W3040858765 modified "2023-09-23" @default.
- W3040858765 title "On Estimating Machine-Zero Residual" @default.
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- W3040858765 doi "https://doi.org/10.48550/arxiv.2007.06394" @default.
- W3040858765 hasPublicationYear "2020" @default.
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