Keywords:
- Algebraic turbulence model
- error analysis
- existence of weak solutions
- filtration boundary conditions
- finite element method
- Incompressible fluids
- Incompressible non-Newtonian fluid
- inflow/outflow boundary conditions
- non-Newtonian fluid
- Optimal shape design
- Outflow boundary condition
- Paper machine headbox
- pressure boundary conditions
- Pressure-dependent viscosity
- shear-dependent viscosity
- shear-rate- and pressure-dependent viscosity
Publications of Stebel, Jan
2017
A novel view on computations of steady flows of Bingham fluids using implicit constitutive relations (2017), in: Journal of Non-Newtonian Fluid Mechanics | , , and ,
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2013
Stability with respect to domain of the low Mach number limit of compressible viscous fluids (2013), in: Archive for Rational Mechanics and Analysis, 23:13(2465–2493) | , , and ,
[DOI] |
2012
Finite element approximation of flow of fluids with shear rate and pressure dependent viscosity (2012), in: IMA Journal of Numerical Analysis, 32:4(1604--1634) | , and ,
[DOI] [URL] |
2011
Convergence of a Brinkman-type penalization for compressible fluid flows (2011), in: Journal of Differential Equations, 250:1(596--606) | , and ,
[DOI] [URL] |
On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities (2011), in: Applications of Mathematics, 56:3(265--285) | and ,
[DOI] [URL] |
On shape stability of incompressible fluids subject to Navier's slip (2011), in: J. Math. Fluid Mech., Online first | ,
[DOI] |
Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation (2011), in: Applied Mathematics and Optimization, 63:2(277--308) | and ,
[DOI] [URL] |
2009
Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis (2009), in: Applied Mathematics and Optimization, 60:2(185-212) | , , and ,
[DOI] [URL] |
2007