Numerical solution by meshless method of a fully-coupled bed load and shallow water flows
نویسندگان
چکیده
The one-dimensional shallow water equations (SWEs), coupled with bed load (Exner equation) were solved in this paper for the numerical simulation of sediment transport problem. By using an efficient meshless method based on radial basis function (RBF) that approximates unknown variables a set collocation nodes and Runge–Kutta fourth-order scheme to approximate temporal derivative. Besides, artificial viscosity avoid oscillations, we implement proposed model bedload up series tests various nontrivial solutions confirm efficiency suggested approaches. simulations demonstrate accuracy, computational efficiency, ability methods solving Exner
منابع مشابه
A Meshless Method for Numerical Solution of Fractional Differential Equations
In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this me...
متن کاملsolution of security constrained unit commitment problem by a new multi-objective optimization method
چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...
a meshless method for numerical solution of fractional differential equations
in this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. we approximate the exact solution by use of radial basis function(rbf) collocation method. this techniqueplays an important role to reduce a fractional dierential equation to a system of equations. the numerical results demonstrate the accuracy and ability of this me...
متن کاملNumerical solution of fully nonlinear elliptic equations by Böhmer's method
We present an implementation of Böhmer’s finite element method for fully nonlinear elliptic partial differential equations on convex polygonal domains, based on a modified Argyris element and BernsteinBézier techniques. Our numerical experiments for several test problems, involving the classical Monge-Ampère equation and an unconditionally elliptic equation, confirm the convergence and error bo...
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: E3S web of conferences
سال: 2022
ISSN: ['2555-0403', '2267-1242']
DOI: https://doi.org/10.1051/e3sconf/202233600003