A convergent 3-D vortex method with grid-free stretching
Mathematics of Computation
Convergence of Vortex methods for Euler's equations, III
SIAM Journal on Numerical Analysis
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Smoothed particle hydrodynamics stability analysis
Journal of Computational Physics
Artificial viscosity models for vortex and particle methods
Journal of Computational Physics
SPH without a tensile instability
Journal of Computational Physics
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A general deterministic treatment of derivatives in particle methods
Journal of Computational Physics
A vortex particle method for two-dimensional compressible flow
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
Journal of Computational Physics
A Versatile and Robust Model for Geometrically Complex Deformable Solids
CGI '04 Proceedings of the Computer Graphics International
Remeshed smoothed particle hydrodynamics simulation of the mechanical behavior of human organs
Technology and Health Care
A Lagrangian particle level set method
Journal of Computational Physics
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
Virtual Reality-Based Simulation of Endoscopic Surgery
Presence: Teleoperators and Virtual Environments
Evaluation of the mechanical properties of human liver and kidney through aspiration experiments
Technology and Health Care
A point-based method for animating elastoplastic solids
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A generalized wall boundary condition for smoothed particle hydrodynamics
Journal of Computational Physics
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We present a novel Lagrangian particle method for the simulation of linear and nonlinear elastic models of soft tissue. Linear solids are represented by the Lagrangian formulation of the stress-strain relationship that is extended to nonlinear solids by using the Lagrangian evolution of the deformation gradient described in a moving framework. The present method introduces a level set description, along with the particles, to capture the body deformations and to enforce the boundary conditions. Furthermore, the accuracy of the method in cases of large deformations is ensured by implementing a particle remeshing procedure. The method is validated in several benchmark problems, in two and three dimensions and the results compare well with the results of respective finite elements simulations. In simulations of large solid deformation under plane strain compression, the finite element solver exhibits spurious structures that are not present in the Lagrangian particle simulations. The particle simulations are compared with experimental results in an aspiration test of liver tissue.