Jeffrey M. Connors

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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)
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)
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)
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)
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