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In this talk I will overview a survey paper developed from the DOE-­‐sponsored Institute for Computing in Science Workshop on " Multiphysics Simulations: Challenges and Opportunities. " In this paper, we considered multiphysics applications from algorithmic and architectural perspectives where " architectural " included both software and hardware(More)
There have been many numerical simulations but few analytical results of stability and accuracy of algorithms for computational modeling of fluid-fluid and fluid-structure interaction problems, where two domains corresponding to different fluids (ocean-atmosphere) or a fluid and deformable solid (blood flow) are separated by an interface. As a simplified(More)
OBJECTIVE To determine if weight < 3rd and < 10th centile at 2 years in extremely low birthweight (ELBW) infants is associated with problems of development and motor skills, and whether this association is explained by perinatal risk status. METHODOLOGY One hundred and ninety-eight of 226 (88%) surviving ELBW infants born between January 1987 and December(More)
A model of two incompressible, Newtonian fluids coupled across a common interface is studied. The nonlinearity of the coupling condition exacerbates the problem of decoupling the fluid calculations in each subdomain, a natural parallelization strategy employed in current climate models. A specialized partitioned time stepping method is studied which(More)
Two numerical algorithms are presented that couple a Boussinesq model of natural heat convection in two domains, motivated by the dynamic core of climate models. The first uses a monolithic coupling across the fluid–fluid interface. The second is a parallel implementation decoupled via a partitioned time stepping scheme with two-way communication. These new(More)
Lanczos bidiagonal reduction generates a factorization of a matrix X ∈ R m×n , m ≥ n, such that X = U BV T where U ∈ R m×n is left orthogonal, V ∈ R n×n is orthogonal, and B ∈ R n×n is bidiagonal. Since, in the Lanczos recurrance, the columns of U and V tend to lose orthogonality, a reorthogonalization strategy is necessary to preserve convergence of the(More)
A numerical approach to estimating solutions to coupled systems of equations is partitioned time stepping methods, an alternative to monolithic solution methods, recently studied in the context of fluid-fluid and fluid-structure interaction problems. Few analytical results of stability and convergence are available, and typically such methods have been(More)
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