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RESEARCH PRODUCT
A stabilized finite element method for particulate two-phase flow equations laminar isothermal flow
Kai Hiltunensubject
Mechanical EngineeringIsothermal flowComputational MechanicsGeneral Physics and AstronomyLaminar flowMechanicsCompressible flowFinite element methodComputer Science ApplicationsEuler equationsPhysics::Fluid Dynamicssymbols.namesakeClassical mechanicsMechanics of MaterialsPressure-correction methodsymbolsNavier–Stokes equationsMathematicsExtended finite element methoddescription
A finite element method for the solution of particulate two-phase flows is presented. The governing system has the form of compressible Navier-Stokes equations with unknown pressure. Therefore, the proposed method must capture the main features of stabilized methods used for incompressible as well as for compressible Navier-Stokes equations. Solution of the resulting nonlinear algebraic system of equations is based on the linearization using Newton method in conjunction with Generalized Minimal Residual iterative solver and Incomplete LU preconditioning. The method has been tested for three test cases including venturi tube flow, flow over backward step and mixing of flows in t-junction.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-01 | Computer Methods in Applied Mechanics and Engineering |