36.Microwave Theory and Techniques - download pdf or read online

By John G. Webster (Editor)

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3. Hughes, T. J. , and Larson, M. , The Continuous Galerkin Method is Locally Conservative, J. Comp. , 163 (2000), pp. 467–488. 4. , Higher Order Schemes for the Compressible Navier-Stokes Equations, AIAA Paper 2003-3987, 16th AIAA Computational Fluid Dynamics Conference, June 23–26, 2003, Orlando, FL. ” Chapter 2 Flight Path Optimization at Constant Altitude Mark D. Ardema and Bryan C. Asuncion Abstract In this chapter we consider flight optimization at constant altitude for a variety of missions and propulsion systems and then focus on maximizing the range of a turbofan-powered aircraft.

First, the use of numerical fluxes (as opposed to physical fluxes) generally results in more accurate estimates for moments. If the discrete scheme conserves moment of momentum, then it is possible to compute accurate moments by simple sums as with forces. It is easy to show that both Galerkin and SUPG obey this property as does DG(k), k > 0, but FV, including DG(0), does not. Since our scheme hybridizes SUPG and DG(0), we lose this property, although we believe certain variants of these schemes can recover it.

Given a choice of basis functions and a numerical flux, the residual statement becomes the orthogonality between the PDEs and the test functions (taken to be the same as those defining the basis functions). Numerical quadrature then produces a system of nonlinear algebraic equations to be solved at each time step. The extension to higher order with FEM is straightforward as far as the mechanics is concerned, but robustness remains a critical issue for nonlinear problems. One introduces additional degrees of freedom as needed to define the higher order basis functions.

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36.Microwave Theory and Techniques by John G. Webster (Editor)

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