Linearized perturbations of the Kerr spacetime and outer boundary conditions in numerical relativity

Purpose The purpose of this paper is to investigate the heat transfer in an arbitrary cavity filled with porous medium. The geometry of the cavity is such that an isothermal heating source is placed centrally at the bottom of the cavity. The height and width of the heating source is varied to analyses its effect on the heat transfer characteristics. The investigation is carried out for three different cases of outer boundary conditions such as two outside vertical walls being maintained at cold temperature To, two vertical and top horizontal surface being heated to. To and the third case with top surface kept at To but other surfaces being adiabatic. Design/methodology/approach Finite element method is used to solve the governing equations. Findings It is observed that the cavity exhibits unique heat transfer behavior as compared to regular cavity. The cases of boundary conditions are found to affect the heat transfer rate in the porous cavity. Originality/value This is original work representing the heat transfer in irregular porous cavity with various boundary conditions. This work is neither being published nor under review in any other journal.

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Absorbing boundary conditions for arbitrary outer boundary

10.1109/aps.1989.134607 ◽

2003 ◽

Cited By ~ 1

Author(s):

A. Khebir ◽

R. Mittra

Keyword(s):

Boundary Conditions ◽

Outer Boundary ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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Responses of Commingled Systems With Mixed Inner and Outer Boundary Conditions Using Derivatives

SPE Formation Evaluation ◽

10.2118/22681-pa ◽

1994 ◽

Vol 9 (04) ◽

pp. 264-271 ◽

Cited By ~ 4

Author(s):

Gao Chao ◽

Jack R. Jones ◽

Rajagopal Raghavan ◽

W. John Lee

Keyword(s):

Boundary Conditions ◽

Outer Boundary

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Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows

Communications in Computational Physics ◽

10.4208/cicp.071015.050216a ◽

2016 ◽

Vol 20 (4) ◽

pp. 944-968

Author(s):

Kai Zhang ◽

Ming Li ◽

Jingzhi Li

Keyword(s):

Sensitivity Analysis ◽

Boundary Conditions ◽

Incompressible Fluid ◽

Outer Boundary ◽

Fluid Flows ◽

Neumann Boundary ◽

Error Estimator ◽

Computational Domain ◽

Fast Analysis ◽

Incompressible Fluid Flows

AbstractRemoving geometric details from the computational domain can significantly reduce the complexity of downstream task of meshing and simulation computation, and increase their stability. Proper estimation of the sensitivity analysis error induced by removing such domain details, called defeaturing errors, can ensure that the sensitivity analysis fidelity can still be met after simplification. In this paper, estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows is studied with applications to fast analysis of incompressible fluid flows in complex environments. The derived error estimator is applicable to geometric details constrained by either Dirichlet or Neumann boundary conditions, and has no special requirements on the outer boundary conditions. Extensive numerical examples were presented to demonstrate the effectiveness and efficiency of the proposed error estimator.

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