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The usual time integration approach for solving steady viscous free surface flow problems has several drawbacks. We propose instead an efficient iterative method, which relies on a different but equivalent formulation of the free surface flow problem, involving a so-called quasi free-surface condition. Furthermore, we present a method for analyzing the… (More)

- Abdel Malik, Michael Raouf Aziz, Harald van Brummelen
- 2017

This work applies the moment method onto a generic form of kinetic equations, given by the Boltzmann equation, to simplify kinetic models of particle systems. This leads to the moment closure problem which is addressed using entropy-based moment closure techniques utilizing entropy minimization. The resulting moment closure system forms a system of partial… (More)

Immersed finite element methods generally suffer from conditioning problems when cut elements intersect the physical domain only on a small fraction of their volume. De Prenter et al. [Computer Methods in Applied Mechanics and Engineering, 316 (2017) pp. 297–327] present an analysis for symmetric positive definite (SPD) immersed problems, and for this class… (More)

Since the late 1990s, goal-oriented error estimation and goal-oriented adaptive methods have been developed to control the discretization error in goal functionals of the solution1,2. These methods have mostly been applied to linear and nonlinear problems in solid and fluid mechanics. An important recent development is the extension of goal-oriented… (More)

- Chao-An Lin, Yuri Bazilevs, Harald van Brummelen, Kenji Takizawa, Jong-Shinn Wu
- Computers & Mathematics with Applications
- 2016

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