Journal of Computational Physics
A three-dimensional computational method for blood flow in the heart. II. contractile fibers
Journal of Computational Physics
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
A numerical method for suspension flow
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
The NURBS book
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
An adaptive version of the immersed boundary method
Journal of Computational Physics
A DLM/FD method for fluid/flexible-body interactions
Journal of Computational Physics
A fluid-structure interaction method with solid-rigid contact for heart valve dynamics
Journal of Computational Physics
An adaptive, formally second order accurate version of the immersed boundary method
Journal of Computational Physics
A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
Journal of Computational Physics
On computational issues of immersed finite element methods
Journal of Computational Physics
The Immersed Structural Potential Method for haemodynamic applications
Journal of Computational Physics
Partitioned block-Gauss-Seidel coupling for dynamic fluid-structure interaction
Computers and Structures
Hi-index | 31.45 |
Within the group of immersed boundary methods employed for the numerical simulation of fluid-structure interaction problems, the Immersed Structural Potential Method (ISPM) was recently introduced (Gil et al., 2010) [1] in order to overcome some of the shortcomings of existing immersed methodologies. In the ISPM, an incompressible immersed solid is modelled as a deviatoric strain energy functional whose spatial gradient defines a fluid-structure interaction force field in the Navier-Stokes equations used to resolve the underlying incompressible Newtonian viscous fluid. In this paper, two enhancements of the methodology are presented. First, the introduction of a new family of spline-based kernel functions for the transfer of information between both physics. In contrast to classical IBM kernels, these new kernels are shown not to introduce spurious oscillations in the solution. Second, the use of tensorised Gaussian quadrature rules that allow for accurate and efficient numerical integration of the immersed structural potential. A series of numerical examples will be presented in order to demonstrate the capabilities of the enhanced methodology and to draw some key comparisons against other existing immersed methodologies in terms of accuracy, preservation of the incompressibility constraint and computational speed.