4470

4198

كارشناسي ارشد

سازه

اصفهان:دانشگاه صنعتي اصفهان، دانشكده عمران

1387

سيزده، 86، [II] ص. مصور، جدول، نمودار

ص.ع.به:فارسي و انگليسي

بيژن برومند

محمدمهدي سعادت پور

حميد هاشم الحسيني، مجتبي ازهري

1396/09/11

كتابنامه

مهندسي عمران

ID4198

به فارسي و انگليسي:قابل رويت در نسخه ديجيتال

Fluid structure interaction using exponential basis functions EBFs via a lagrangian meshless method Seyed Mahdi Zandi Atashbar smehdizandi@yahoo com 10 March 2009 Department of Civil Engeenering Isfahan University of Technology Isfahan 84156 83111 IranDegree M Sc Language Farsi Supervisor Dr Bijan Boroomand boromand@cc iut ac irAbstractIn this dissertation a new meshless semi analytical method for the solution of fluid flowequations with moving boundaries and interaction with rigid structures weak interaction is presented This method is based on the solution of incompressible inviscid fluid flowequations using a Lagrangian formulation Hence in each time step the pressure Laplaceequation is solved in a meshless style similar to the method of fundamental solutions MFS and other fluid variables such as acceleration velocity and displacement arecalculated accordingly Problem geometry is then updated based on the Lagrangianformulation of motion In this method the approximate solution of the Laplace equation isexpressed by a linear combination of exponential basis functions These functions areobtained by satisfying the Laplace equation Constant coefficients of the series areevaluated through a point collocation on domain boundaries via an especial discretetransformation Fluid structure interfaces are supposed as slip impermeable boundaries The developed Lagrangian algorithm is used to test variety of linear and nonlinearbenchmark examples and good results are obtained as comparing with solutions ofanalytical and other numerical methods Considering the computational cost and time changing geometries and moving boundaries can be analyzed by such a meshless methodmuch easier compared with the conventional Finite Element Methods In this investigation the solution of elasticity and steady Navier Stokes equations forfully incompressible materials has also been presented in a similar manner For theseequations polynomial functions are added to exponential basis functions Contrary tostandard displacement formulation of elastic problems that fails when Poisson s ratiobecomes 0 5 or when the material becomes incompressible with these basis functionsformulation the standard equations can be solved with Poisson s ratio 0 5 It is notrequired to use mixed methods iterative solutions and so on Pressure basis functions canbe evaluated by calculating the limit of bulk modulus multiplied by volumetric strain whenPoisson s ratio becomes 0 5 Key WordsFluid structure interaction Lagrangian free surface flow Moving boundaries Incompressibility Exponential Basis Functions EBFs Meshless method

بيژن برومند

محمدمهدي سعادت پور

حميد هاشم الحسيني، مجتبي ازهري