Jacek Narski^1,2, Marco Picasso¹

FDMP-Fluid Dynamics & Materials Processing, Vol.3, No.1, pp. 49-64, 2007, DOI:10.3970/fdmp.2007.003.049

Abstract An adaptive phase field model for the solidification of binary alloys in three space dimensions is presented. The fluid flow in the liquid due to different liquid/solid densities is taken into account. The unknowns are the phase field, the alloy concentration and the velocity/pressure in the liquid. Continuous, piecewise linear finite elements are used for the space discretization, a semi-implicit scheme is used for time discretization. An adaptive method allows the number of degrees of freedom to be reduced, the mesh tetrahedrons having high aspect ratio whenever needed. Numerical results show that our method is More >

J. B. Litzenberger^{1, 2}, P. Tummala² , C. R. Jacobs^{1, 2}

Molecular & Cellular Biomechanics, Vol.3, No.4, pp. 219-220, 2006, DOI:10.32604/mcb.2006.003.219

Abstract This article has no abstract. More >

R. Y. Kwon¹, C. R. Jacobs¹

Molecular & Cellular Biomechanics, Vol.3, No.4, pp. 209-209, 2006, DOI:10.32604/mcb.2006.003.209

Abstract This article has no abstract. More >

E. J. Clowes-Arnsdorf^1,2, R. Y. Kwon^1,2, P Tummala², D. R. Carter^1,2, C. R. Jacobs^1,2

Molecular & Cellular Biomechanics, Vol.3, No.4, pp. 205-206, 2006, DOI:10.32604/mcb.2006.003.205

Abstract This article has no abstract. More >

Milica Radisic^1,2, Gordana Vunjak-Novakovic³

FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.1, pp. 1-16, 2006, DOI:10.3970/fdmp.2006.002.001

Abstract To engineer cardiac tissue in vitro with properties approaching those of native tissue, it is necessary to reproduce many of the conditions found in vivo. In particular, cell density must be sufficiently high to enable contractility, which implies a three-dimensional culture with a sufficient oxygen and nutrient supply. In this review, hydrogels and scaffolds that support high cell densities are examined followed by a discussion on the utility of scaffold perfusion to satisfy high oxygen demand of cardiomyocytes and an overview of new bioreactors developed in our laboratory to accomplish this task more simply. More >

B. Šarler¹

CMES-Computer Modeling in Engineering & Sciences, Vol.7, No.2, pp. 185-194, 2005, DOI:10.3970/cmes.2005.007.185

Abstract This paper explores the application of the mesh-free radial basis function collocation method for solution of heat transfer and fluid flow problems. The solution procedure is represented for a Poisson reformulated general transport equation in terms of a-symmetric, symmetric and modified (double consideration of the boundary nodes) collocation approaches. In continuation, specifics of a primitive variable solution procedure for the coupled mass, momentum, and energy transport representing the natural convection in an incompressible Newtonian Bussinesq fluid are elaborated. A comparison of different collocation strategies is performed based on the two dimensional De Vahl Davis steady More >

M.H. Djavareshkian¹

FDMP-Fluid Dynamics & Materials Processing, Vol.1, No.4, pp. 329-342, 2005, DOI:10.3970/fdmp.2005.001.329

Abstract A pressure-based Euler scheme, based on a collocated grid arrangement is described. The newly developed algorithm has two new prominent features: (i) the use of normalized variables to bound the convective fluxes and (ii) the use of a high-resolution scheme in calculating interface density values to enhance the shock-capturing property of the algorithm. The algorithm is first tested for flows at different Mach numbers ranging from subsonic to supersonic on a bump in a channel geometry; then the results are compared with the corresponding ones obtained without the bounded scheme in the correction step. The More >

S. Rugonyi, K. J. Bathe¹

CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.2, pp. 195-212, 2001, DOI:10.3970/cmes.2001.002.195

Abstract The solution of fluid flows, modeled using the Navier-Stokes or Euler equations, fully coupled with structures/solids is considered. Simultaneous and partitioned solution procedures, used in the solution of the coupled equations, are briefly discussed, and advantages and disadvantages of their use are mentioned. In addition, a simplified stability analysis of the interface equations is presented, and unconditional stability for certain choices of time integration schemes is shown. Furthermore, the long-term dynamic stability of fluid-structure interaction systems is assessed by the use of Lyapunov characteristic exponents, which allow differentiating between a chaotic and a regular system More >