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March 7, 20260 citations

Accurate 3D Incompressible Flow Calculations with Finite Element Method

Accurate 3D viscous incompressible flow calculations with the FEM

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Authors

GÜGülçat Ü.ARAslan A. R.

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Overview

Demonstrates a new method for modeling complex fluids in 3D flows, indicating improved accuracy in simulations.

Key Points

  • The aim is to improve accuracy in 3D incompressible fluid flow simulations using the finite element method.
  • Developed a second-order-accurate formulation for Navier-Stokes equations.
  • Utilized a finite element method with an explicit time-marching scheme.
  • Implemented fourth-order artificial dissipation for stabilization.
  • Used element-by-element technique for solving the auxiliary potential function.
  • Successfully solved cubic cavity problem and laminar flow past a sphere.
  • Demonstrated clear depiction of flow details even with coarse grids.
  • Comparison with low-order solutions showed improved accuracy in flow details.

Cite This Study

Ü. et al. (1997) studied this question.

synapsesocial.com/papers/69abc2725af8044f7a4ec19chttps://doi.org/10.1002/(sici)1097-0363(19971115)25:9<985::aid-fld596>3.0.co;2-c
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