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Showing 4 results for Finite Volume Method

Sabagh Yazdi S.r., Mohammad Zadeh Qomi M.,
Volume 2, Issue 2 (6-2004)

A numerical model is introduced for solution of shallow water flow equations with negligible physical dissipations due to canal roughness and turbulence effects. Two-dimensional velocity distribution and water depth of the flow field are computed by solving the depth average equations of continuity and motion. The equations are converted to discrete form using cell vertexfinite volume method on triangular unstructured mesh. The formulation of the added numericalviscosity is chosen in such a way that preserves the accuracy of numerical results. The accuracy ofthe model is assessed by computing the challenging case of inviscid frictionless flow in a canal with a 1800 bend. The computed results are compared with analytical solution which is obtainedfrom potential flow theory. Simulation of frictionless free surface flow in a constant width meandering sinusoidal canal is considered as an application of the model. The algorithm produced encouraging results.
Golparvar Fard M., Yeganeh Bakhtiary A., Cheng L.,
Volume 3, Issue 1 (3-2005)

This paper presents a k- turbulence model for simulation of steady current and itsinduced vortex shedding caused by the presence of an offshore pipeline. Performance of the modelaround a circular cylinder above a wall with gap to diameter ratios of 0.1, 0.35 and 0.5 underdifferent flow regimes with Reynolds numbers of 1500, 2500 and 7000 is studied. The flow field iscomputed with solving the Reynolds Averaged Navier-Stokes equations (RANS) the seabed underpipeline is treated as a plane boundary with no-slip boundary condition on pipe surface. Thegoverning equations are solved using Finite Volume Method in a Cartesian coordinate system.Based on the numerical solutions, the flow field, vortex shedding and distribution of shear stressdue to the presence of the pipeline near seabed are studied. In addition the mechanism of vortexshedding with different gap to diameter ratios is examined with focusing on the effect of vortexshedding on bed shear stress. It is found that the k- turbulence model can well predict the flowfield and its induced vortex shedding around a pipeline hence it can be easily applied forsimulation of scour below an offshore pipeline.
Saeed Reza Sabbaghyazdi1, Tayebeh Amiri Saadatabadi,
Volume 9, Issue 3 (9-2011)

In this research, a novel numerical algorithm is introduced for computation of temperature-induced before crack steady strainstress field in plane-stress problem. For this purpose, two dimensional heat transfer equation and force equilibrium equations are sequentially solved using Galerkin Finite Volume method on identical unstructured triangular meshes when proper convergence for each field is achieved. In this model, a proper thermal boundary condition that is suitable for unstructured triangular meshes is introduced for analysis. Two test cases are used to assess accuracy of thermal and structural modules of the developed solver and the computed results are compared with theirs analytical solution.First, thermal analysis is performed for a rectangular plate which is connected to a supporting body with constant temperature and expose to surrounding liquid at three edges.Second, structural analysis is performed for a plate under distributed loads in two directions. Having obtained acceptable results from thermal and structural modules, thermal stress analysis is performed for a plate with fixed-end condition at one of edges,due to a uniform temperature field and the computational principle stress contours are compared with the Finite Element method results which have been reported in the literatures.

E. Alamatian, M. R. Jaefarzadeh,
Volume 10, Issue 1 (3-2012)

In this article, the two-dimensional depth-averaged Saint Venant equations, including the turbulence terms, are solved in a

supercritical flow with oblique standing waves. The algorithm applies the finite volume Roe-TVD method with unstructured

triangular cells. Three depth-averaged turbulence models, including the mixing length, k-&epsilon and algebraic stress model (ASM),

are used to close the hydrodynamic equations. The supercritical flow in a channel downstream from a side-baffle in plan is then

simulated, and the numerical results are compared with the data obtained from a laboratory model. The application of different

models demonstrates that the consideration of turbulence models improves the results at the shock wave positions. The qualitative

study of the results and error analysis indicates that the ASM offers the most desirable solutions in comparison with the other

models. However, our numerical experiments show that, amongst the source term components, the negligence of turbulence terms

produces the least error in the depth estimation in comparison with the removal of the bed slope or bed friction terms.

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