A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
نویسندگان
چکیده
منابع مشابه
A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
We present a new high-order, local meshfree method for numerically solving reaction diffusion equations on smooth surfaces of codimension 1 embedded in Rd. The novelty of the method is in the approximation of the Laplace–Beltrami operator for a given surface using Hermite radial basis function (RBF) interpolation over local node sets on the surface. This leads to compact (or implicit) RBF gener...
متن کاملA Radial Basis Function (rbf) Compact Finite
We present a new high-order, local meshfree method for numerically solving reaction 5 diffusion equations on smooth surfaces of co-dimension one embedded in Rd. The novelty of the 6 method is in the approximation of the Laplace-Beltrami operator for a given surface using Hermite 7 radial basis function (RBF) interpolation over local node sets on the surface. This leads to compact 8 (or implicit...
متن کاملA Compact Analogue Radial Basis Function Circuit
Gillian Marshall and Steve Collins DRA Malvern, UK INTRODUCTION In this paper we describe an analogue VLSI circuit which implements the Radial Basis Function (RBF) algorithm, based around a compact Euclidean Distance calculator. A prototype chip has been fabricated and tested. First, we describe the RBF architecture and present results from the test chip. We then discuss the impact of device va...
متن کاملHeterogeneous Radial Basis Function Networks
Radial Basis Function (RBF) networks typically use a distance function designed for numeric attributes, such as Euclidean or city-block distance. This paper presents a heterogeneous distance function which is appropriate for applications with symbolic attributes, numeric attributes, or both. Empirical results on 30 data sets indicate that the heterogeneous distance metric yields significantly i...
متن کاملNumerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods
1. I N T R O D U C T I O N In the past decade, the so-called mesh-free methods have become one of the hot tes t research areas in computa t ional mechanics. The te rm mesh-free or meshless is used to describe the special ways of constructing the approximation or interpolation scheme for the spatial discretization. Tha t is, the function and its derivatives at one central node are approximated e...
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: International Journal for Numerical Methods in Fluids
سال: 2017
ISSN: 0271-2091
DOI: 10.1002/fld.4386