Todd I. Hesla

TL;DR: In this article, a new Lagrange-multiplier based fictitious-domain method is presented for the direct numerical simulation of viscous incompressible flow with suspended solid particles, which uses a finite-element discretization in space and an operator-splitting technique for discretisation in time.

TL;DR: In this article, a Lagrange multiplier-based fictitious domain method was applied to the numerical simulation of incompressible viscous flow modeled by the Navier-Stokes equations around moving rigid bodies.

TL;DR: In this paper, a Lagrange multiplier based fictitious domain method is used to simulate the Navier-Stokes equations around moving rigid bodies, where the rigid body motion is due to hydrodynamical forces and gravity.

TL;DR: In this paper, a distributed Lagrange multiplier/fictitious domain method (DLM) is developed for simulating the motion of rigid particles suspended in the Oldroyd-B fluid.

TL;DR: In this article, a modified distributed Lagrange multiplier/fictitious domain method (DLM) was proposed for particle collisions in particle flows, which allows particles to come arbitrarily close to each other and even slightly overlap each other.