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Showing 1 to 12 of 12 for “"Implicit Finite Difference Method"”.
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Solutions to three laminar viscous flow problems by an implicit finite-difference method
… (2) laminar incompressible viscous flow past a finite flat plate (second-order solutions), and (3) laminar viscous past a sphere at a high Mach number. These problems are solved by using an implicit finite-difference method. The first problem (flow past a sphere and a cylinder) involves the …
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Estudo teórico da transferência de calor por convecção natural e radiação térmica em canais verticais e inclinados
… equations of the walls are resolved by use of implicit finite difference method. It is obtained temperature, velocity, pressure and the channel length and is discussed the resul ts concerning the physical development of the fluid flow.
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Analysis and implementation of a positivity preserving numerical method for an HIV model
… of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed for stability and equilibria. The qualitative information thus obtained is used while designing numerical …
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Steady and Unsteady Thermo-Strucural Simulation of Thermally Actuated Micro- and Nano-Structures
… equation is solved numerically using an implicit Finite Difference method implemented in Matlab to obtain the thermal positioning response, which is the thermally steady state center displacement, by adding a constant, time-independent heat flux to the structure. The results show the …
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Development of an energy storage tank model
A linearized, one-dimensional finite difference model employing an implicit finite difference method for energy storage tanks is developed, programmed with MATLAB, and demonstrated for different applications. A set of nodal energy equations is developed by considering the energy interactions on a …
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Propagação de ondas de maré em canais comunicando-se com um reservatório
… of these equations is treated with explicite finite-difference method; 3- The equations of long waves are solved with implicit finite-difference method. The velocity and the height for the channel of Laguna's for are calculated according each one of these theories. The results were checked …
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A thermodynamic simulation model for storage of corn
… mass transfer. The system was solved using the implicit finite difference method with matrix inversion for an axisymmetric body with 36 annular elements. The bulk moisture diffusivities were determined using five mixing models(parallel, series, equivalent-resistor, modified Maxwell, and …
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Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers
… equations. These are solved using the semi-implicit finite difference method integrated with the Crank-Nicolson scheme. The pressure-velocity coupling in the momentum equations is resolved by employing the Semi-Implicit Method for Pressure Linked Equations (SIMPLE). To cope with numerical …
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3-D temperature distributions in spot heating of a ceramic by a focused microwave source
… and offer several advantages over conventional methods utilizing surface heat flux. A three-dimensional mathematical model of a circular volumetric heat source moving through a rectangular block was constructed to address some of the microwave heating concerns--electric field power requirements, …
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Non-isothermal dynamics of thin-film free-surface and channel flows of non-Newtonian nanofluids
… system of equations by using an efficient semi-implicit finite-difference method, combined with a Crank-Nicolson scheme. In addition, the effects of nanoparticles on fluid velocity, extra stresses, temperature, and thermal conductivity are explored. Comparisons of the numerical results for the …
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Model-Based Experimental Investigation of Hydrogenase-Like Electrocatalytic Inactivation and Activation Mechanisms
… operator-splitting (OS) scheme, with fully implicit finite difference (FIFD) method is first time proposed to numerically solve the stiff nonlinear problems in electrochemistry, particularly in electrocatalysis. The developed algorithm is tested through a series of validations for different …
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Local Factorization of Multidimensional Differential Operators to Optimize Implicit Solution Methods
… multidimensional differential operators using implicit finite-difference methods involves a computationally intensive step of calculating the solution to a system that involves both the current and future state of the system. If a linear operator can be expressed as an affine combination of …