Numerical Aspects of POD-Based Reduced-Order Modeling forDarcy-Brinkman Equations

2018-10-21
Güler Eroğlu, Fatma
Kaya Merdan, Songül
We propose, analyze and test a reduced order modelling with proper orthogonal decomposition (POD) method for the modeling to flows governed by double diffusive convection, which models flow driven by two potentials with different rates of diffusion. We present a theoretical analysis of the method and give results for various numerical tests on benchmark problems that will demonstrate both the theory and the effectiveness of the proposed method.
Workshop on Computational Science and Engineering, (20-21 October 2018 )

Suggestions

EQUIVALENT ELASTIC PROPERTIES OF LATTICES USING NON-UNIFORMLY DISTRIBUTED POINT CLOUD
Yormaz, Engin Ege; Tuncay, Kağan; Department of Civil Engineering (2022-11-22)
A method based on the equivalency of strain energy density is proposed for finding the elastic parameters of non-uniformly distributed lattice models in 2D with a Poisson’s ratio of 1/3. Lattice members are assumed to carry only normal force. Hence, the elasticity modulus times the area is the only defining parameter for each lattice member. The method is implemented in MATLAB and it is tested with regularly structured lattices whose solutions can be calculated exactly. A “User-Friendly Lattice Model P...
Numerical Modeling of Electromagnetic Scattering from Periodic Structures by Transformation Electromagnetics
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-09-22)
The transformation electromagnetics is applied to the modeling of electromagnetic scattering from periodic structures in conjunction with the finite element method with periodic boundary conditions. In a unit cell of periodic structure, a uniform mesh is used over a flat surface and the arbitrary periodic surface is modeled by a coordinate transformation. The major advantage of this approach is that arbitrary geometries can be handled by using a single and simple mesh. Therefore, repeated computations (such...
Numerical modelling of wave-structure interaction problems through cfd methods
Güler, Hasan Gökhan; Yalçıner, Ahmet Cevdet; Department of Civil Engineering (2020)
The major focus of this study is the computational fluid dynamics (CFD) modelling of wave-structure interaction problems. In the first part of this study, the performance of Haydarpaşa Breakwater under tsunami attack is assessed both experimentally and numerically. It is concluded that the major failure mechanism of this breakwater is the sliding of the crown-wall, and the stability of the stones located at the harbour side is also significant. Design recommendations are given based on the stability of the ...
Failure analysis of tapered composite structures under tensile loading
Çelik, Ozan; Parnas, Kemal Levend; Department of Mechanical Engineering (2016)
A three dimensional finite element modeling approach is used to evaluate the effects of preliminary design variables on the performance of tapered composite laminates under tensile loading. Hashin failure criteria combined with a progressive failure algorithm is used for in-plane failure mechanisms and cohesive zone method is used for out-of-plane failures. The modeling approach is validated by a comparison with experimental results from literature. The validated model is used to examine various design vari...
NUMERICAL STABILITY OF RBF APPROXIMATION FOR UNSTEADY MHD FLOW EQUATIONS
Gurbuz, Merve; Tezer, Münevver (2019-01-01)
In this study, the radial basis function (RBF) approximation is applied for solving the unsteady fluid flow and magnetohydrodynamic (MHD) convection flow problems with the use of explicit Euler time discretization and relaxation parameters to accelerate the convergence. The stability analysis is also carried out in terms of the spectral radius of related RBF discretized coefficient matrices. The optimal choices of the time increment, relaxation parameters and physical problem parameters are found for achiev...
Citation Formats
F. Güler Eroğlu and S. Kaya Merdan, “Numerical Aspects of POD-Based Reduced-Order Modeling forDarcy-Brinkman Equations,” presented at the Workshop on Computational Science and Engineering, (20-21 October 2018 ), Middle East Technical University, Ankara-Turkey, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/75765.