A Lagrangian–Eulerian stabilized collocation method (LESCM) for the fluid–structure
interaction problems involving free surface flow is presented in this work, in which the …

Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …

Conservation properties are very important for numerical methods. The presence of non-
conservative solutions can result in fictitious sources or sinks that cause alterations in the …

Many aerospace applications involve complex multiphysics in compressible flow regimes
that are challenging to model and analyze. Fluid–structure interaction (FSI) simulations offer …

We present a quasi-conforming embedded reproducing kernel particle method (QCE-
RKPM) for modeling heterogeneous materials that makes use of techniques not available to …

An immersed boundary fast integration methodology featured by a consistent weight
learning is proposed to accelerate Galerkin meshfree computation. In the proposed …

We introduce a novel immersed-like numerical framework that combines isogeometric
analysis with smoothed particle hydrodynamics for simulating air-blast–structure interaction …

Meshfree methods offer significant flexibility in discretizing partial differential equations,
including arbitrary smoothness uncoupled with the order of the approximation, and the …

Immersed boundary methods are high-order accurate computational tools used to model
geometrically complex problems in computational mechanics. While traditional finite …

The material point method (MPM) can effectively address material fragmentation issues over
mesh-based methods due to its meshfree nature, but faces numerical inaccuracies such as …