The Experts below are selected from a list of 96276 Experts worldwide ranked by ideXlab platform
Shijun Liao - One of the best experts on this subject based on the ideXlab platform.
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on the explicit purely analytic solution of von karman swirling Viscous Flow
Communications in Nonlinear Science and Numerical Simulation, 2006Co-Authors: Cheng Yang, Shijun LiaoAbstract:Abstract A new analytic method for highly nonlinear problems, namely the homotopy analysis method, is applied to solve the Von Karman swirling Viscous Flow, governed by a set of two fully coupled differential equations with strong nonlinearity. An explicit, purely analytic and uniformly valid solution is given, which agrees well with numerical results.
Cheng Yang - One of the best experts on this subject based on the ideXlab platform.
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on the explicit purely analytic solution of von karman swirling Viscous Flow
Communications in Nonlinear Science and Numerical Simulation, 2006Co-Authors: Cheng Yang, Shijun LiaoAbstract:Abstract A new analytic method for highly nonlinear problems, namely the homotopy analysis method, is applied to solve the Von Karman swirling Viscous Flow, governed by a set of two fully coupled differential equations with strong nonlinearity. An explicit, purely analytic and uniformly valid solution is given, which agrees well with numerical results.
Jonathan P. Whiteley - One of the best experts on this subject based on the ideXlab platform.
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A numerical method for the multiphase Viscous Flow equations
Computer Methods in Applied Mechanics and Engineering, 2010Co-Authors: James M. Osborne, Jonathan P. WhiteleyAbstract:Abstract A numerical technique is developed for the solution of the equations that govern multiphase Viscous Flow. We demonstrate that the equations can be written as a coupled system of Partial Differential Equations (PDEs) comprising: (i) first order hyperbolic PDEs for the volume fraction of each phase; (ii) a generalised Stokes Flow for the velocity of each phase; and (iii) elliptic PDEs for the concentration of nutrients and messengers. Furthermore, the computational domain may vary with time for some applications. Appropriate numerical methods are identified for each of these subsystems. The numerical technique developed is then demonstrated using two exemplar applications: tissue engineering; and avascular tumour development. This allows verification that the technique is appropriate for many features of multiphase Viscous Flow modelling.
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A numerical method for the multiphase Viscous Flow equations
Computer Methods in Applied Mechanics and Engineering, 2010Co-Authors: James M. Osborne, Jonathan P. WhiteleyAbstract:A numerical technique is developed for the solution of the equations that govern multiphase Viscous Flow. We demonstrate that the equations can be written as a coupled system of Partial Differential Equations (PDEs) comprising: (i) first order hyperbolic PDEs for the volume fraction of each phase; (ii) a generalised Stokes Flow for the velocity of each phase; and (iii) elliptic PDEs for the concentration of nutrients and messengers. Furthermore, the computational domain may vary with time for some applications. Appropriate numerical methods are identified for each of these subsystems. The numerical technique developed is then demonstrated using two exemplar applications: tissue engineering; and avascular tumour development. This allows verification that the technique is appropriate for many features of multiphase Viscous Flow modelling. © 2010 Elsevier B.V
Sivaguru S. Sritharan - One of the best experts on this subject based on the ideXlab platform.
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Necessary and sufficient conditions for optimal controls in Viscous Flow problems
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2011Co-Authors: H. O. Fattorini, Sivaguru S. SritharanAbstract:A class of optimal control problems in Viscous Flow is studied. Main results are the Pontryagin maximum principle and the verification theorem for the Hamilton–Jacobi–Bellman equation characterising the feedback problem. The maximum principle is established by two quite different methods.
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Existence of Optimal Controls for Viscous Flow Problems
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992Co-Authors: H. O. Fattorini, Sivaguru S. SritharanAbstract:A class of optimal control problems in Viscous Flow is studied. Main result is the existence theorem for optimal control. Three typical Flow control problems are formulated within this general class.
Hideyuki Azegami - One of the best experts on this subject based on the ideXlab platform.
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Shape optimization of 3D Viscous Flow fields
Inverse Problems in Science and Engineering, 2009Co-Authors: Eiji Katamine, Yuya Nagatomo, Hideyuki AzegamiAbstract:This article presents a numerical solution technique for shape optimization problems of steady-state, 3D Viscous Flow fields. In a previous study, the authors formulated shape optimization problems by considering the minimization of total dissipation energy in the domain of a Viscous Flow field, proposing a solution technique in which the traction method is applied by making use of a shape gradient. This approach was found to be effective for 2D problems for low Reynolds number Flows. In the present study, the validity of the proposed solution technique is confirmed by extending its application to 3D problems.
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Solution to shape optimization problems of Viscous Flow fields
International Journal of Computational Fluid Dynamics, 2005Co-Authors: Eiji Katamine, Hideyuki Azegami, Tomoyuki Tsubata, Shoji ItohAbstract:This paper presents a numerical solution to the shape optimization problems of steady-state Viscous Flow fields. The minimization problem of total dissipation energy was formulated in the domain of Viscous Flow fields. The shape gradient of the shape optimization problem was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping was carried out by the traction method proposed by one of the authors as an approach to solving domain optimization problems. The validity of the proposed method was confirmed by results of 2D and 3D numerical analyses.
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Solution to Shape Optimization Problem of Viscous Flow Fields Considering Convection Term
Inverse Problems in Engineering Mechanics IV, 2003Co-Authors: Eiji Katamine, Tomoyuki Tsubata, Hideyuki AzegamiAbstract:This paper presents a numerical solution to shape optimization problems of steady-state Viscous Flow fields considering a convection term. The minimization problem of total dissipation energy was formulated in the domain of Viscous Flow fields. The shape gradient of the shape optimization problem was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping was carried out by the traction method proposed by one of the authors as an approach to solving domain optimization problems. Validity of the proposed method was confirmed by results of 2-D numerical analyses.
