Implications of mountain shading on calculating energy for snowmelt using unstructured triangular meshes

Implications of mountain shading on calculating energy for snowmelt using unstructured triangular meshes

In many parts of the world, snowmelt energetics are dominated by solar irradiance. This is particularly the case in the Canadian Rocky Mountains, where clear skies dominate the winter and spring. In mountains, solar irradiance at the snow surface is not only affected by solar angles, atmospheric transmittance, and the slope and aspect of immediate topography but also by shadows from surrounding...

P-Conservative Solution Interpolation on Unstructured Triangular Meshes

This document presents an interpolation operator on unstructured triangular meshes that verifies the properties of mass conservation, P-exactness (order 2) and maximum principle. This operator is important for the resolution of the conservation laws in CFD by means of mesh adaptation methods as the conservation properties is not verified throughout the computation. Indeed, the mass preservation...

Force-Directed Methods for Smoothing Unstructured Triangular and Tetrahedral Meshes

Geometric Properties of the Local Refinement in Unstructured Triangular Meshes

In this work we study the propagation problem due to the conformity process in the longestedge based refinement algorithms for triangular unstructured meshes. The geometric properties in study answers the important question of how the size of the triangulation is affected when local refinement is applied. We prove both theoretically and empirically that the propagation of a single triangle refi...

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

We consider a nonlinear finite volume (FV) scheme for stationary diffusion equation. We prove that the scheme is monotone, i.e. it preserves positivity of analytical solutions on arbitrary triangular meshes for strongly anisotropic and heterogeneous full tensor coefficients. The scheme is extended to regular star-shaped polygonal meshes and isotropic heterogeneous coefficients.