CWENO: Uniformly accurate reconstructions for balance laws
نویسندگان
چکیده
منابع مشابه
A Uniformly Third Order Accurate Scheme for Genuinely Nonlinear Conservation Laws
The entropy condition and the total variation boundedness of weak solutions of convex scalar conservation laws are enforced by Lip+-stability which the physical solutions satisfy. The first order Godunov and LaxFriedrichs schemes, and the second order Maxmod scheme are consistent with this Lip+-stability and are, therefore, entropy convergent. In this paper, a uniformly third order accurate sch...
متن کاملBalance Laws
Central to any theory of continuum mechanics, are balance laws of mass, momentum, and energy. These provide us with universal relations, which should be satisfied during every process associated with the continuous body. However, to obtain general statements of these laws, several integral theorems are required. A major portion of this chapter therefore deals with divergence theorem, Stokes’ th...
متن کاملOn the Behavior of the Total Variation in CWENO Methods for Conservation Laws
We consider a family of high-order, weighted essentially non-oscillatory central schemes (CWENO) for approximating solutions of one-dimensional hyperbolic systems of conservation laws. We are interested in the behavior of the total variation (TV) of the approximate solution obtained with these methods. Our numerical results suggest that even though CWENO methods are not total variation diminish...
متن کاملA re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws
A WENO re-averaging (or re-mapping) technique is developed that converts function averages on one grid to another grid to high order. Nonlinear weighting gives the essentially non-oscillatory property to the re-averaged function values. The new reconstruction grid is used to obtain a standard high order WENO reconstruction of the function averages at a select point. By choosing the reconstructi...
متن کاملHow new laws balance
T he 2010 Constitution has made dramatic changes to the Budget process. These open it up to a wider set of actors, particularly giving citizens and MPs a greater role, and fundamentally reducing the traditional, undemocratic and nearly unlimited powers of the Executive. Yet, radical changes in the Budget process can lead to confusion about roles. This must not become an excuse for poor fi nanci...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2017
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3273