High-order algorithms for vascular flow modelling

High-Flow Vascular Malformation of Ear: A Case Report

Vascular anomalies are categorized into vascular tumours or vascular malformations on the basis of clinical features and histopathology. The literature regarding high flow arteriovenous malformations of the auricle is rare. A case of a patient clinically diagnosed with an arteriovenous malformation of the external ear and was managed with preoperative embolization, surgical excision and reconst...

Algorithms and arteries : Multi - domain spectral / hp methods for vascular flow modelling

High Resolution Flow Modelling for Meteorological Purposes

This paper describes methods used in creation of a high-resolution mathematical model for describing flow in complex geometry areas. In the future it should be used mainly for airflow calculations in urban areas. In the second part we present some preliminary results of test experiments. At this stage, our model describes the 2D laminar incompressible flow but extension to full 3D approach is s...

High order Newton-penalty algorithms ?

Recent efforts in differentiable non-linear programming have been focused on interior point methods, akin to penalty and barrier algorithms. In this paper, we address the classical equality constrained program solved using the simple quadratic loss penalty function/algorithm. The suggestion to use extrapolations to track the differentiable trajectory associated with penalized subproblems goes b...

High Order Modified Weighted Compact Scheme for High Speed Flow

The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a modified weighted compact scheme (MWCS) has been developed. Similar to WENO, three high order candidates, left, right, and central, are constructed by Hermite polynomials. According to the smoothness, three weights are ...