8 citations · 28 across the 13 of their papers we have counts for
13 papers
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…
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…
Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
Miha Rot, Žiga Vaupotič, 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…
Performance Trade-offs of High Order Meshless Approximation on Distributed Memory Systems
Jon Vehovar, Miha Rot, Gregor Kosec
Meshless methods approximate operators in a specific node as a weighted sum of values in its neighbours. Higher order approximations of derivatives provide more accurate solutions…
Spatially dependent node regularity in meshless approximation of partial differential equations
Miha Rot, Mitja Jančič, Gregor Kosec
In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node…
Hyperviscosity stabilisation of the RBF-FD solution to natural convection
Žiga Vaupotič, Miha Rot, Gregor Kosec
The numerical stability of fluid flow is an important topic in computational fluid dynamics as fluid flow simulations usually become numerically unstable in the turbulent regime. M…
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…
Some observations regarding the RBF-FD approximation accuracy dependence on stencil size
Andrej Kolar-Požun, Mitja Jančič, 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…
Spatially-varying meshless approximation method for enhanced computational efficiency
Mitja Jančič, Miha Rot, Gregor Kosec
In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatial variation of computational no…
Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size
Andrej Kolar-Požun, Mitja Jančič, 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…
Meshless method stencil evaluation with machine learning
Miha Rot, Aleksandra Rashkovska
Meshless methods are an active and modern branch of numerical analysis with many intriguing benefits. One of the main open research questions related to local meshless methods is h…
Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations
Miha Rot, Martin Horvat, Gregor Kosec
The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningf…
Refined radial basis function-generated finite difference analysis of non-Newtonian natural convection
Miha Rot, Gregor Kosec
In this paper we present a refined Radial Basis Function-generated Finite Difference (RBF-FD) solution for a non-Newtonian fluid in a closed differentially heated cavity. The non-N…