Computing interface motion in compressible gas dynamics
Journal of Computational Physics
A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations
SIAM Journal on Mathematical Analysis
A novel thermal model for the lattice Boltzmann method in incompressible limit
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Lattice Boltzmann algorithm for simulating thermal flow in compressible fluids
Journal of Computational Physics
Editorial: Mesoscopic Methods in Engineering and Science
Computers & Mathematics with Applications
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This paper introduces a three dimensional (3D) thermal lattice Boltzmann method for the simulation of electron beam melting processes. The multi-distribution approach incorporates a state-of-the-art volume of fluid free surface method to handle the complex interaction between gas, liquid, and solid phases. The paper provides a detailed explanation of the modeling of the electron beam gun properties, such as the absorption rate and the energy dissipation. Additionally, an algorithm for the construction of a realistic powder bed is discussed. Special emphasis is placed to a parallel, optimized implementation due to the high computational costs of 3D simulations. Finally, a thorough validation of the heat equation and the solid-liquid phase transition demonstrates the capability of the approach to considerably improve the electron beam melting process.