A New Implementation of Symplectic Runge–Kutta Methods
We propose a “Newton–Taylor” iteration for solving the implicit equations of symplectic Runge–Kutta methods, using the Jacobian of the vector field and matrix-vector multiplic...
We propose a “Newton–Taylor” iteration for solving the implicit equations of symplectic Runge–Kutta methods, using the Jacobian of the vector field and matrix-vector multiplic...
A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis
The usual method for evaluating rational Bézier surfaces uses the projection operator and the representation provided by the Bernstein basis. We prove the optimal stability of the basis used i...
The usual method for evaluating rational Bézier surfaces uses the projection operator and the representation provided by the Bernstein basis. We prove the optimal stability of the basis used i...
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Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals
SIAM J. Sci. Comput. Volume 29, Issue 4, pp. 1650-1667 (2007)
Published August 1, 2007
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We consider a prototypical problem: simulate velocity and pressure in a turbulent flow using large eddy simulation (LES) and then use the results to estimate the force that the underlying turbulent flow exerts on an immersed body. For eddy viscosity-type LES models we develop the appropriate continuous sensitivity equation and show how it can improve the functional estimate by using the sensitivity with respect to the user-selected length scale to incorporate the effects of the underlying unresolved small-scale fluctuations on the functionals sought.
©2007 Society for Industrial and Applied Mathematics| History: | Received May 10, 2005; accepted January 16, 2007; published August 1, 2007 |
| Permalink: | http://dx.doi.org/10.1137/050631161 |
KEYWORDS and AMS
76D05, 35Q30, 90C31
PUBLICATION DATA
1064-8275 (print)
1095-7197 (online)
SIAM