We present and analyse a new fictitious domain model for the Brinkman or Stokes/Brinkman problems in order to handle general jump embedded boundary conditions (J.E.B.C.) on an immersed interface. Our model is based on algebraic transmission conditions combining the stress and velocity jumps on the interface Σ separating two subdomains: they are well chosen to get the coercivity of the operator....

In tissue engineering, porous biodegradable scaffolds are used as templates for regenerating required tissues. With the advances in computational tools, many modeling approaches have been considered. For example, fluid flow through porous medium can be modeled using the Brinkman equation where permeability of the porous medium has to be defined. In this review, we summarize various models recen...

Prolonged Frozen Storage of Urine Samples, Jacoline W. Brinkman, Dick de Zeeuw, Jacko J. Duker, Ronald T. Gansevoort, Ido P. Kema, Hans L. Hillege, Paul E. de Jong, and Stephan J.L. Bakker (Departments of 1 Clinical Pharmacology, 2 Internal Medicine, and 3 Pathology and Laboratory Medicine, and the 4 Trial and Coordination Center, University of Groningen and University Medical Center Groningen,...

Metals approaching the Mott insulator generate a new hierarchy in the electronic structure accompanied by a momentum dependent electron differentiation, beyond the MottHubbard, Brinkman-Rice and Slater pictures of the Mott transition. To consider such nonlinear phenomenon, we develop an analytic nonperturbative theory based on operator projections combined with a self-consistent treatment of th...

Kieran C. O’Doherty, Josh D. Neufeld, Fiona S. L. Brinkman, Humphrey Gardner, David S. Guttman, and Robert G. Beiko Department of Psychology, University of Guelph, Guelph, ON, Canada N1G 2W1; Department of Biology, University of Waterloo, Waterloo, ON, Canada N2L 3G1; Department of Molecular Biology and Biochemistry, Simon Fraser University, Burnaby, BC, Canada V5A 1S6; Department of Translatio...

We study the Hubbard model with bond-charge interaction ~‘‘correlated hopping’’! in terms of the Gutzwiller wave function. We show how to express the Gutzwiller expectation value of the bond-charge interaction in terms of the correlated momentum-space occupation. This relation is valid in all spatial dimensions. We find that in infinite dimensions, where the Gutzwiller approximation becomes exa...

Numerical computation of textile permeability is important for composite manufacturing. Using Darcy’s law, permeability can be derived from a simulation of the fluid flow, i.e. after solving the Stokes, Navier-Stokes or Brinkman equations. The latter allow to model intra-yarn flow in case of permeable yarns. In this paper we present a numerical method for the calculation of the permeability of ...