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Non-linear modal interactions in the dynamics of a vibrating drop are examined. The partial di!erential equations governing the drop vibrations are formulated assuming potential #ow and incompressibil...
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is re...
The flux reconstruction (FR) approach unifies various high-order schemes, in cluding collocation based nodal discontinuous Galerkin (DG) methods, and all spectral difference methods (at le...
This paper demonstrates efficient solver technologies applied to the non-linear frequency domain (NLFD) method.The basis of the NLFD method is to assume the time period of the solutions oscillat...
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and the corresponding boundary condition...
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and their corresponding boundary conditi...
Non-oscillatory discretization methods based on the Lo-cal Extremum Diminishing principle, which were origi-nally devised for compressible flow, are applied to the free-surface evolution equation. Mor...
In this study, Eulerian and Lagrangian finite element formulations are given for the dynamic interaction problem of a fluid-structure system. Non-linear dynamic analyses of Karakaya arch dam were perf...
The proposed computation method principle utilized in the studied problem, which consist in solving the dynamic equilibrium differential equation system, written in the incremental form, using a hyste...
A generalized variant of the finite difference method [2, 3, 4] is used for numerical modelling of non-steady and non-linear thermal diffusion problems. In order to simplify the considerations the 1D ...
This paper deals with a new bar element with varying cross-sectional area which can be used for geometric non-linear analysis. Shape functions of the bar element include transfer functions and transfe...
An approximate numerical solution for the steady laminar boundary-layer flow over a wall of the wedge with suction or injection in the presence of species concentration and mass diffusion has been obt...

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