A computational model of aquatic animal locomotion
Journal of Computational Physics
A computational model of the cochlea using the immersed boundary method
Journal of Computational Physics
Improved volume conservation in the computation of flows with immersed elastic boundaries
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
Two-Dimensional Simulations of Valveless Pumping Using the Immersed Boundary Method
SIAM Journal on Scientific Computing
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
Journal of Computational Physics
A comprehensive three-dimensional model of the cochlea
Journal of Computational Physics
Journal of Computational Physics
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A new method of spatial discretization for immersed boundary computations is introduced. Fluid velocity and pressure are obtained as weak solutions of the discretized fluid equations with respect to a wavelet basis of functions. The scaling function of the fluid velocity basis may be chosen to be identical to Peskin's discrete approximation to the Dirac delta function. On a regular rectangular grid the discretized equations are solved using the fast Fourier transform, retaining the efficiency of the immersed boundary method. We show experimental numerical evidence that the rate of volume loss of our method is better than that of the finite difference immersed boundary method. Our formulation offers new insights into the immersed boundary method and leads to new extensions and applications.