Computers & Mathematics With Applications
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#1Suqiong Xie (Nagoya University)
#2Kentaro Yaji (Osaka University)H-Index: 9
Last. Toshiro Matsumoto (Nagoya University)H-Index: 22
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Abstract null null This paper presents a topology optimization method for flow channel design using the lattice kinetic scheme (LKS). LKS is a numerical scheme merging the lattice Boltzmann method with the kinetic scheme for solving the incompressible Navier-Stokes equations. In the lattice Boltzmann method, the discrete distribution functions for every grid in the analysis domain need to be stored to compute the flow field, while in the LKS, only the flow velocities and the densities are stored...
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#1Jan Havelka (CTU: Czech Technical University in Prague)H-Index: 3
#2Anna Kučerová (CTU: Czech Technical University in Prague)H-Index: 14
Last. Jan Sýkora (CTU: Czech Technical University in Prague)H-Index: 6
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Abstract null null Thermal tomography is a method for recovering heterogeneous thermal properties employing only boundary measurements. This paper focuses on the development of efficient inverse solvers for scenarios where the evolution of boundary conditions can vary in time. A transient heat model with two material parameters – volumetric capacity and a coefficient of thermal conductivity – is introduced for the description of the underlying physical phenomena. All proposed identification algo...
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Abstract null null We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the num...
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#1P.Y. Vrionis (NTUA: National Technical University of Athens)
#2K.D. Samouchos (NTUA: National Technical University of Athens)
Last. Kyriakos C. Giannakoglou (NTUA: National Technical University of Athens)H-Index: 24
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Abstract null null A topology optimization method for steady-state flows of incompressible fluids which is capable of imposing accurate boundary conditions along the solid walls of the sought fluid paths is presented. In each topology optimization cycle, body-conforming Cartesian meshes are generated around shapes of any complexity by tracing the fluid-solid interfaces and a cut-cell flow solver is implemented together with its adjoint. Sensitivity derivatives are computed along the fluid-solid ...
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Abstract null null As a mesoscopic approach, the lattice Boltzmann method has achieved considerable success in simulating fluid flows and associated transport phenomena. The calculation, however, suffers from a massive amount of computing resources. A predictive model, to reduce the computing cost and accelerate the calculations, is proposed in this work. By employing an artificial neural network, composed of convolution layers and convolution long short-term memory layers, the model is an equiv...
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#3Bo Wang (University of Electronic Science and Technology of China)H-Index: 119
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Top fields of study
Mathematical optimization
Mathematical analysis
Nonlinear system
Boundary value problem
Applied mathematics
Mathematics