Nonnormality and transient behavior of the de Saint-Venant-Exner equations
نویسندگان
چکیده
منابع مشابه
Backstepping stabilization of the linearized Saint-Venant-Exner model
Using backstepping design, exponential stabilization of the linearized Saint-Venant–Exner (SVE) model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, andwater–sediment interaction, is achieved. The linearized SVEmodel consists of two rightward convecting transport Partial Differential Equations (PDEs) and one leftward convecting tran...
متن کاملSediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models
In this note we are interested in the modelling of sediment transport phenomena. We mostly focus on bedload transport and we do not consider suspension sediment processes. We first propose a coupled numerical scheme for the classical Saint-Venant – Exner model. It is based on a relaxation approach and it works with all sediment flux function. We exhibit that this coupled approach is more stable...
متن کاملNumerical Study of Staggered Scheme for Viscous Saint-Venant Equations
This paper describes a numerical scheme for approximate the viscous Saint-Venant equations. This scheme is called staggered grid scheme which is a robust, simple and strightforward scheme for viscous SaintVenant equations. Some numerical simulations have been elaborated to validate the accuracy of the scheme, such as the calculation of the convergence rate L1-norm error of the scheme, the compa...
متن کاملSimulation and visualization of the Saint-Venant system using GPUs
We consider three high-resolution schemes for computing shallow-water waves as described by the Saint-Venant system and discuss how to develop highly efficient implementations using graphical processing units (GPUs). The schemes are well-balanced for lake-at-rest problems, handle dry states, and support linear friction models. The first two schemes handle dry states by switching variables in th...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولذخیره 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: Water Resources Research
سال: 2009
ISSN: 0043-1397
DOI: 10.1029/2008wr007587