4 papers
A semi-Lagrangian method for the polyatomic ESBGK model
Klaas Willems, Erik Arlemark, Giovanni Samaey +1
Polyatomic kinetic models are essential for accurately capturing the thermodynamic behavior of real gases, as internal energy modes significantly influence transport coefficients,…
A meshless MUSCL method for the BGK-Boltzmann equation
Klaas Willems, Axel Klar, Giovanni Russo +2
We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and s…
Higher-order meshless schemes for hyperbolic equations
Klaas Willems, Giovanni Samaey, Axel Klar
We discuss the order, efficiency, stability and positivity of several meshless schemes for linear scalar hyperbolic equations. Meshless schemes are Generalised Finite Difference Me…
Kinetic-Diffusion-Rotation Algorithm for Dose Estimation in Electron Beam Therapy
Klaas Willems, Vince Maes, Zhirui Tang +1
Monte Carlo methods are state-of-the-art when it comes to dosimetric computations in radiotherapy. However, the execution time of these methods suffers in high-collisional regimes.…