Meshless method for solving multidimensional radiative transfer in graded index medium
نویسندگان
چکیده
منابع مشابه
The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions
In this paper a numerical meshless method for solving the radiative transfer equations in a slab medium with an isotropic scattering is considered. The method is based on radial basis functions to approximate the solution of an integral-partial differential equation by using collocation method. For this purpose different applications of RBFs are used. To this end the numerical solutions are obt...
متن کاملMeshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries
Keywords: Meshless method Coupled radiative–conductive transfer Discrete ordinates Even parity Complex geometries a b s t r a c t A meshless method DAM is employed to solve the coupled radiative and conductive heat transfer problem in a semi-transparent medium enclosed in complex 2D and 3D geome-tries. The meshless method for radiative transfer is based on the even parity formulation of the dis...
متن کاملHybrid Finite Volume / Finite Element Method for Radiative Heat Transfer in Graded Index Media
The rays propagate along curved path determined by the Fermat principle in the graded index medium. The radiative transfer equation in graded index medium (GRTE) contains two specific redistribution terms (with partial derivatives to the angular coordinates) accounting for the effect of the curved ray path. In this paper, the hybrid finite volume with finite element method (hybrid FVM/FEM) (P.J...
متن کاملDiscontinuous spectral element method for solving radiative heat transfer in multidimensional semitransparent media
A discontinuous spectral element method (DSEM) is presented to solve radiative heat transfer in multidimensional semitransparent media. This method is based on the general discontinuous Galerkin formulation. Chebyshev polynomial is used to build basis function on each element and both structured and unstructured elements are considered. The DSEM has properties such as hp-convergence, local cons...
متن کاملA Computational Meshless Method for Solving Multivariable Integral Equations
In this paper we use radial basis functions to solve multivariable integral equations. We use collocation method for implementation. Numerical experiments show the accuracy of the method.
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: Applied Mathematical Modelling
سال: 2012
ISSN: 0307-904X
DOI: 10.1016/j.apm.2011.12.027