Jeffrey K. Wiens

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We propose an efficient algorithm for the immersed boundary method on distributedmemory architectures, with the computational complexity of a completely explicit method and excellent parallel scaling. The algorithm utilizes the pseudo-compressibility method recently proposed by Guermond and Minev that uses a directional splitting strategy to discretize the(More)
Abstract. In this paper, we investigate a traffic model similar to the Lighthill–Whitham– Richards model, consisting of a hyperbolic conservation law with a discontinuous, non-convex, piecewise-linear flux. Using Dias and Figueira’s mollification framework, analytical solutions to the corresponding Riemann problem are derived. For certain initial data,(More)
We present an approach for numerically simulating the dynamics of flexible fibers in a threedimensional shear flow using a scalable immersed boundary (IB) algorithm based on Guermond and Minev’s pseudocompressible fluid solver. The fibers are treated as one-dimensional Kirchhoff rods that resist stretching, bending, and twisting, within the generalized IB(More)
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