This paper presents a fully discrete Lyapunov-consistent framework ensuring stability for a wide class of reaction-diffusion systems with ODE equilibrium points. This framework has applications in many fields, including medical and epidemiological simulations.
The present study focuses on the assessment of the performance of a finite volume method based, particle-resolved simulation approach to predict the flow through a model packed-bed consisting of 21 layers of spheres arranged in the body centered …
As most papers in the community of double averaging neglect the effects of commutation errors, we demonstrate in this featured article that the effects are significant enough to affect the solution.
This paper analysis and develops the entropy-stable framework for a new diffusive Euler model developed by Svärd in 2018, demonstrated the ability to derive entropy-stable wall boundary conditions, and offers a rigorous comparison that questions some conclusions in Svärd 2018.
This paper has gained a large traction in the field because it extends the entropy-stability features previously only available at the semi-discrete level to a fully-discrete scheme.