On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
نویسندگان
چکیده
منابع مشابه
Implicit and Semi - Implicit Schemes :
We formulate general guidelines to extend an explicit code with a great variety of implicit and semi-implicit time integration schemes. The discussion is based on their speciic implementation in the Versatile Advection Code, which is a general purpose software package for solving systems of non-linear hyperbolic (and/or parabolic) partial diierential equations, using standard high-resolution sh...
متن کاملImplicit Finite Element Schemes for the Stationary Compressible Euler Equations
Semi-implicit and Newton-like finite element methods are developed for the stationary compressible Euler equations. The Galerkin discretization of the inviscid fluxes is potentially oscillatory and unstable. To suppress numerical oscillations, the spatial discretization is performed by a high-resolution finite element scheme based on algebraic flux correction. A multidimensional limiter of TVD ...
متن کاملA semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations
Article history: Received 21 February 2012 Received in revised form 30 May 2012 Accepted 4 June 2012 Available online 16 June 2012
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Explicit-implicit Splitting Schemes for Some Systems of Evolutionary Equations
In many applied problems, the individual components of the unknown vector are interconnected and therefore splitting schemes are applied in order to get a simple problem for evaluating unknowns at a new time level. On the basis of additive schemes (splitting schemes), there are constructed efficient computational algorithms for numerical solving the initial value problems for systems of time-de...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2014
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2014021