An immersed boundary method for fluids using the XFEM and the hydrodynamic Boltzmann transport equation

A level set method for topological shape optimization of 3D structures with extrusion constraints ⋮ Structured derivation of moment equations and stable boundary conditions with an introduction to symmetric, trace-free tensors

EULAIR

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Levelset based fluid topology optimization using the extended finite element method
A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows
Spatial approximation of the radiation transport equation using a subgrid-scale finite element method
Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
Nodal discontinuous Galerkin methods on graphics processors
Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh
A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
A comparative study of immersed-boundary and interpolated bounce-back methods in LBE
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
On the finite difference-based lattice Boltzmann method in curvilinear coordinates
The lattice Boltzmann equation on irregular lattices
Discretization of the Boltzmann equation in velocity space using a Galerkin approach
A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
Rarefied flow computations using nonlinear model Boltzmann equations
On some techniques for approximating boundary conditions in the finite element method
Comparison of some finite element methods for solving the diffusion-convection-reaction equation
A finite element method for the simulation of strong and weak discontinuities in solid mechanics
The finite element method with Lagrangian multipliers
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
High-order finite elements applied to the discrete Boltzmann equation
An extrapolation method for boundary conditions in lattice Boltzmann method
An embedded Dirichlet formulation for 3D continua
A discontinuous-Galerkin-based immersed boundary method
Finite cover method for linear and non-linear analyses of heterogeneous solids
Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element
A multi‐block lattice Boltzmann method for viscous fluid flows
Multiple–relaxation–time lattice Boltzmann models in three dimensions
EULAIR: a novel finite–element–based Cartesian grid Euler flow solver that does not require cut–cell geometric information at solid boundaries
On the kinetic theory of rarefied gases
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
A stabilized finite element method for generalized stationary incompressible flows
A characteristic Galerkin method for discrete Boltzmann equation