8 papers
Load Balanced Parallel Node Generation for Meshless Numerical Methods
Jon Vehovar, Miha Rot, Matjaž Depolli +1
Meshless methods are used to solve partial differential equations by approximating differential operators at a node as a weighted sum of values at its neighbours. One of the algori…
Meshless -adaptive Solution for non-Newtonian Natural Convection in a Differentially Heated Cavity
Miha Rot, Gregor Kosec
One of the main challenges in numerically solving partial differential equations is finding a discretisation for the computational domain that balances the accurate representation…
Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
Miha Rot, Žiga VaupotiÄ, Andrej Kolar-Požun +1
This paper presents an adaptive hyperviscosity stabilisation procedure for the Radial Basis Function-generated Finite Difference (RBF-FD) method, aimed at solving linear and non-li…
Some observations regarding the RBF-FD approximation accuracy dependence on stencil size
Andrej Kolar-Požun, Mitja JanÄiÄ, Miha Rot +1
When solving partial differential equations on scattered nodes using the Radial Basis Function-generated Finite Difference (RBF-FD) method, one of the parameters that must be chose…
Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size
Andrej Kolar-Požun, Mitja JanÄiÄ, Miha Rot +1
When solving partial differential equations on scattered nodes using the Radial Basis Function generated Finite Difference (RBF-FD) method, one of the parameters that must be chose…
Cross-validation of meshless Navier-Stokes solvers in porous media flows
Dawid Strzelczyk, Miha Rot, Gregor Kosec +1
In this paper, two mesh-free CFD solvers for pore-scale fluid flow through porous media are considered, namely the Lattice Boltzmann Method with the two relaxation time collision t…