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- W1985245597 abstract "For unstructured finite volume methods, we present a line implicit Runge–Kutta method applied as smoother in an agglomerated multigrid algorithm to significantly improve the reliability and convergence rate to approximate steady-state solutions of the Reynolds-averaged Navier–Stokes equations. To describe turbulence, we consider a one-equation Spalart–Allmaras turbulence model. The line implicit Runge–Kutta method extends a basic explicit Runge–Kutta method by a preconditioner given by an approximate derivative of the residual function. The approximate derivative is only constructed along predetermined lines which resolve anisotropies in the given grid. Therefore, the method is a canonical generalisation of point implicit methods. Numerical examples demonstrate the improvements of the line implicit Runge–Kutta when compared with explicit Runge–Kutta methods accelerated with local time stepping." @default.
- W1985245597 created "2016-06-24" @default.
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- W1985245597 date "2013-03-01" @default.
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- W1985245597 title "Application of a line implicit method to fully coupled system of equations for turbulent flow problems" @default.
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- W1985245597 doi "https://doi.org/10.1080/10618562.2013.784902" @default.
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