VİSKOELASTİK AKIŞKAN AKIŞININ SONLU ELEMANLAR METODU İLE HIZLI VE ETKİLİ SİMULASYONU

Bu çalışmada, sonlu elemanlar metodunu kullanarak viskoelastik akışkanların etkili ve hızlı olarak sayısalçözümü için gerekli algoritma verildi. Akış alanına ait hız, basınç, Newtonian ve polimerik gerilmeler çözümolarak sunuldu. Temel korunum yasaları çeşitli viskoelastik modeller (e.g. Upper-Convected-Maxwell Model,Oldroyd-B model and Giesekus model) kullanılarak matematiksel model elde edildi. Bu model, Newtonlineerleştirme metodu, SUPG sonlu elemanlar metodu ve GMRES iterative çözüm tekniği kullanılarak çözümlerelde edildi.

Anahtar Kelimeler:

EVSS-1 ve EVSS-2Sonlu elemanlar methodu, viskoelastik akışkanla, GMRES solver

EFFICIENT AND FAST FINITE ELEMENT VISCOELASTIC FLUID FLOW SIMULATION EFFORTS

In this research, we provide finite element computational developments to predict the flow behavior of aviscoelastic fluid flow. The developments predict the velocity, pressure, and polymeric stress by modeling theconservation laws (e.g. mass and momentum) of the flow field coupled with constitutive equations for polymericstress field. The simulations target a variety of viscoelastic models (e.g. Upper-Convected-Maxwell Model,Oldroyd-B model and Giesekus model) to provide a fundamental understanding of the elastic effects on the flowfield. To solve the complex coupled nonlinear equations of the mathematical model described above, acombination of Newton linearization and the Galerkin and Streamline-Upwinding-Petrov-Galerkin (SUPG) finiteelement procedures are employed to accurately capture the representative physics.

Keywords:

EVSS-1 ve EVSS-2 Finite element method, viscoelastic flows, GMRES solver,

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