Abstract
Many parabolic problems, expecially in heat transfer, are subject to boundary conditions involving the normal derivative, such as flux, convective or radiative boundary conditions. This paper presents a method for the solution of parabolic problems defined over 3D domains of general shape approximated by means of polyhedra with boundary conditions involving the normal derivative. The differential operator and the normal derivative are discretized by generalized finite difference techniques on a non-uniform orthogonal cartesian grid. Numerical examples are presented.
Citation Formats
Pennati, V, De Biase, L, and Failla, S.
Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative.
Italy: N. p.,
1991.
Web.
Pennati, V, De Biase, L, & Failla, S.
Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative.
Italy.
Pennati, V, De Biase, L, and Failla, S.
1991.
"Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative."
Italy.
@misc{etde_10118582,
title = {Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative}
author = {Pennati, V, De Biase, L, and Failla, S}
abstractNote = {Many parabolic problems, expecially in heat transfer, are subject to boundary conditions involving the normal derivative, such as flux, convective or radiative boundary conditions. This paper presents a method for the solution of parabolic problems defined over 3D domains of general shape approximated by means of polyhedra with boundary conditions involving the normal derivative. The differential operator and the normal derivative are discretized by generalized finite difference techniques on a non-uniform orthogonal cartesian grid. Numerical examples are presented.}
place = {Italy}
year = {1991}
month = {Dec}
}
title = {Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative}
author = {Pennati, V, De Biase, L, and Failla, S}
abstractNote = {Many parabolic problems, expecially in heat transfer, are subject to boundary conditions involving the normal derivative, such as flux, convective or radiative boundary conditions. This paper presents a method for the solution of parabolic problems defined over 3D domains of general shape approximated by means of polyhedra with boundary conditions involving the normal derivative. The differential operator and the normal derivative are discretized by generalized finite difference techniques on a non-uniform orthogonal cartesian grid. Numerical examples are presented.}
place = {Italy}
year = {1991}
month = {Dec}
}