Variable Time Steps in the Solution of the Heat Flow Equation by a Difference Equation
نویسنده
چکیده
منابع مشابه
Sequential Implicit Numerical Scheme for Pollutant and Heat Transport in a Plane-Poiseuille Flow
A sequential implicit numerical scheme is proposed for a system of partial differential equations defining the transport of heat and mass in the channel flow of a variable-viscosity fluid. By adopting the backward difference scheme for time derivative and the central difference scheme for the spatial derivatives, an implicit finite difference scheme is formulated. The variable-coefficient diffu...
متن کاملThe Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates
In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...
متن کاملThe Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates
In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...
متن کاملApplying a full implicit finite-difference method in jet impingement heat transfer studies
Jet impingement heat transfer is an effective and practical approach that is employed in many industrial processes where heating, cooling, or drying is required. Details of the heat or mass transfer rate have been investigated both experimentally and numerically and can be found in the published literature. In most of the numerical studies, control-volume approach has been employed to solve the...
متن کاملMoving Mesh Non-standard Finite Difference Method for Non-linear Heat Transfer in a Thin Finite Rod
In this paper, a moving mesh technique and a non-standard finite difference method are combined, and a moving mesh non-standard finite difference (MMNSFD) method is developed to solve an initial boundary value problem involving a quartic nonlinearity that arises in heat transfer with thermal radiation. In this method, the moving spatial grid is obtained by a simple geometric adaptive algorithm ...
متن کامل