... transport. Governing equations are discretized using the finite element method, and sensitivities are computed via the adjoint method with automatic differentiation. The optimization uses a density-based material model and a gradient-based interior point algorithm to iteratively refine topologies. Multiple...

...Taj Munir; Can Kang; Licheng Wu; M.Y. Malik Purpose The purpose of this study is to compare various approximations method such as finite element, finite volume and finite difference approximations for the coupled diffusion problem with interface conditions. The property of discrete energy...

.... Galerkin finite element method is used to obtain the streamfunctions and heatfunctions associated with local entropy generation terms. Findings The flow and thermal maps show significant variation from Case 1 to Case 2 arrangements. Case 1 configuration may be the optimal strategy as it offers larger...

... be contacted at: goharkhah@sut.ac.ir 25 05 2021 26 09 2021 29 09 2021 © Emerald Publishing Limited 2021 Emerald Publishing Limited Licensed re-use rights only Two-phase model Ferrofluid Convective heat transfer Electromagnetic Accuracy analysis Finite element analysis...

... and triangular). Design/methodology/approach Galerkin finite element method (GFEM) with adaptive meshing in a composite domain (free space and sample) is used in an in-house computer code. The finite element meshing is done in a composite domain involving triangle embedded within a semicircular hypothetical...

... from the sides. Design/methodology/approach The governing equations are solved numerically subject to continuous and discontinuous Dirichlet boundary conditions by Galerkin’s weighted residuals scheme of finite element method and using a non-uniform unstructured triangular grid. Findings...

... to ensure accuracy and robustness and to provide scalability for advanced hypersonic physics and complex three-dimensional (3D) flows. Design/methodology/approach The solver is based on an edge-based stabilized finite element method (FEM). The chemical and thermal non-equilibrium systems are loosely...

...Guangzhi Du; Liyun Zuo Purpose The purpose of this paper is to propose a parallel partition of unity method (PPUM) to solve the nonstationary Navier-Stokes equations. Design/methodology/approach This paper opted for the nonstationary Navier-Stokes equations by using the finite element method...

... to construct and use a fine mesh inside the layer and in regions adjacent to it, and thus leads to a reduction in the computational effort associated with implicit or explicit finite element schemes. Design/methodology/approach – Special asymptotic models have been proposed for linear heat transfer...

...Rhodri LT Bevan; Etienne Boileau; Raoul van Loon; R.W. Lewis; P Nithiarasu Purpose – The purpose of this paper is to describe and analyse a class of finite element fractional step methods for solving the incompressible Navier-Stokes equations. The objective is not to reproduce the extensive...

...Dr Hong-Yan Liu and Dr Ji-Huan He; Weidong Song; H.P. Tang; X.N. Mao Purpose – The purpose of this paper is to investigate tensile properties of TiC particle-reinforced titanium matrix composites (PRTMC) using the elasto-plastic finite element (FE) programs and the homogenization method...

...Michel Bellet; Makhlouf Hamide Purpose – The purpose of this paper is to present original methods related to the modeling of material deposit and associated heat sources for finite element simulation of gas metal arc welding (GMAW). Design/methodology/approach – The filler deposition...

.... The proposed patient‐specific heat transfer analysis also provides a starting point for the investigation of the influence of induced hypothermia on carotid plaque and its stability. Carotid artery Forced convection Patient‐specific Finite element Blood flow Convection Heat transfer Figure 1...

...G. Croce; P. D’Agaro A three‐dimensional numerical investigation of flow field and heat transfer in sine‐wave crossed ducts is presented. Numerical simulations are carried out using a finite element procedure based on an algorithm which shares many features with the SIMPLER finite‐volume method...

...M.T. Manzari © Emerald Group Publishing Limited 1999 Explicit method Finite element Laminar flow Convection Heat transfer Numerical simulation of convection heat transfer in incompressible fluid flows is of great practical importance due to their numerous applications...

..., we develop a three‐dimensional numerical method for obtaining the temperature profile in an X‐ray irradiation process by using a hybrid finite element‐finite difference scheme for solving three‐dimensional parabolic equations on thin layers. A domain decomposition algorithm is then obtained based...

...Lorraine G. Olson; George Gogos; Venkataramana Pasham We present a new nonlinear axisymmetric finite element model for heat transfer and powder deposition in rotational molding. Arbitrary Lagrangian Eulerian techniques are employed to track the gradual growth of the plastic layer. Results using...

... at different temperatures. Two‐dimensional equations of conservation and energy are solved using a finite element method and a fractional step time. The discrete equations systems are solved in the lap of each element‐mesh with the aim of verifying the Boussinesq hypothesis locally. To compare our results...

... thermal flow problems. Both natural and forced convection and transient problems are considered in this study. The semi‐implicit form of the algorithm has been used to deal with a variety of these problems. © MCB UP Limited 1998 Algorithms Convection Finite element Heat transfer Semi...

...Zhen‐Xiang Gong; Arun S. Mujumdar This paper presents a two‐dimensional finite element model for convection‐dominated melting and freezing problems. The enthalpy‐porosity approach is utilized to account for the physics of the evolution of the melt velocity at the solid/liquid phase change interface...