A weighted residual collocation methodology for simulating two-dimensional shear-driven and natural convection flows has been presented. Using a dyadic mesh refinement, the generates basis multiresolution scheme to approximate fluid flow. To extend benefits of refinement approach field computational dynamics, this article studied an iterative interpolation construction differentiation function in that is finite collection rectangular elements. We have verified that, on given mesh,...

The aim of this paper is to evaluate double integrals over a polygon exploiting coordinate transformation. At first any with m-sides decomposed into (m-2) triangles. Then each triangle transformed standard triangular finite element using the basis functions in local space. 4×n2 right isosceles triangles side lengths 1/n, and thus composite numerical integration employed. In addition, affine transformation use linearity property are applied. Finally, 2-sqare compute new s2 sampling points...

Abstract Computing predictions of future sea level that include well-defined uncertainty bounds requires models are capable robustly simulating the evolution ice sheets and glaciers. Ice flow behaviour is known to be sensitive location geometry dynamic boundaries such as grounding line (GRL), terminus position surface elevation, so any model should track these interfaces with a high degree accuracy. To address this challenge, we implement numerical approach uses level-set method (LSM)...

Urbanization is one of the extreme process that increases uncertainty in future climate projections. Flow regimes mesoscale circulations associated with surface heating due to urbanization have been investigated using a wavelet based computational fluid dynamics~(CFD) model. The results our numerical model validated against laboratory model, as well reference simulations. Characteristics urban induced studied for heat flux perturbation ($H_0$) between $28.93$Wm$^{-2}$ and $925.92$Wm$^{-2}$,...

We implement a data assimilation framework for integrating ice surface and terminus position observations into numerical ice-flow model. The model uses the well-known shallow shelf approximation (SSA) coupled to level set method capture motion changes in glacier geometry. explicitly tracks evolving ice–atmosphere ice–ocean boundaries marine outlet glacier. use an Ensemble Transform Kalman Filter assimilate of elevation lateral extent by updating function that describes interface. Numerical...