More on stochastic and variational approach to the Lax-Friedrichs scheme
نویسنده
چکیده
منابع مشابه
Water hammer simulation by explicit central finite difference methods in staggered grids
Four explicit finite difference schemes, including Lax-Friedrichs, Nessyahu-Tadmor, Lax-Wendroff and Lax-Wendroff with a nonlinear filter are applied to solve water hammer equations. The schemes solve the equations in a reservoir-pipe-valve with an instantaneous and gradual closure of the valve boundary. The computational results are compared with those of the method of characteristics (MOC), a...
متن کاملInvestigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
Fluid-structure interaction (FSI) occurs when the dynamic water hammer forces; cause vibrations in the pipe wall. FSI in pipe systems due to Poisson and junction coupling has been the center of attention in recent years. It causes fluctuations in pressure heads and vibrations in the pipe wall. The governing equations of this phenomenon include a system of first order hyperbolic partial differen...
متن کاملOn monotonicity, stability, and construction of central schemes for hyperbolic conservation laws with source terms
The monotonicity and stability of difference schemes for, in general, hyperbolic systems of conservation laws with source terms are studied. The basic approach is to investigate the stability and monotonicity of a non-linear scheme in terms of its corresponding scheme in variations. Such an approach leads to application of the stability theory for linear equation systems to establish stability ...
متن کاملOn Stability, Monotonicity, and Construction of Difference Schemes I: Theory
In this paper, we focus on the application and illustration of the approach developed in part I. This approach is found to be useful in the construction of stable and monotone central difference schemes for hyperbolic systems. A new modification of the central Lax–Friedrichs scheme is developed to be of second-order accuracy. The stability of several versions of the developed central scheme is ...
متن کاملOn Stability, Monotonicity, and Construction of Central Schemes for Hyperbolic Conservation Laws with Source Terms Ii: Applications
In this paper, we focus on the application and exemplification of the approach developed in the companion paper. This approach is found to be useful in the construction of stable and monotone central difference schemes for hyperbolic systems. The stability of several versions of the central scheme developed in the companion paper is proven. Sufficient conditions for the stability as well as nec...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Math. Comput.
دوره 85 شماره
صفحات -
تاریخ انتشار 2015