Marek Morzyński

Cluster-based reduced-order modelling of shear flows

Cluster-based reduced-order modelling (CROM) builds on the pioneering works of Gunzburgers group in cluster analysis [1] and Eckhardts group in transition matrix models [2] and constitutes a potential alternative to reduced-order models based on a proper-orthogonal decomposition (POD). This strategy frames a time-resolved sequence of flow snapshots into a Markov model for the probabilities of cluster transitions. The information content of the Markov model is assessed with a Kullback-Leibler entropy. This entropy clearly discriminates between prediction times in which the initial conditions can be inferred by backward integration and the predictability horizon after which all information about the initial condition is lost. This approach is exemplified for a class of fluid dynamical benchmark problems like the periodic cylinder wake, the spatially evolving incompressible mixing layer, the bi-modal bluff body wake, and turbulent jet noise. For these examples, CROM is shown to distil nontrivial quasi-attr...

Deformation of Curvilinear Meshes for Aeroelastic Analysis

The article presents elastic analogy approach of deformation curvilinear meshes applied in aeroelastic simulations. The details of algorithm used in developed software with the new metrics designated for high-order mesh quality assessment are presented. The article ends the example of LANN wing deformed by featured tool. Presented software allows conducting the aeroelastic simulation based on CFD discontinuous Galerkin High Order solver.

Reduced order model of a human left and right ventricle based on POD method

The paper aims to build a reduced order model (ROM) of the left and right ventricle of a human heart. The input heart model is build from 3D sets of registered, flexible surface meshes for the left and right ventricle, resulting from the MRI data. Spatial and temporal variables are separated using Proper Orthogonal Decomposition. It enables data reduction and works as a data-driven filter, separating similar and alternative properties of the left and right ventricle movement, which is diagnostically essential in cardiology studies. Each mode can be correlated with a corresponding heart movement. The temporal coefficients reflect the functioning of the heart, and comparing them may reveal and distinguish pathologies. We have proven that complex heart motion can be modeled with relatively small number of degrees of freedom. The model spanned on a few POD modes allows the analysis of the crucial movement data and better identification of possible failures.

Aeroelastic System for Large Scale Computations with High Order Discontinuous Galerkin Flow Solver

Article presents the development process of aeroelastic system basing on finite volume CFD solver for higher order methods. The main aspect is interpolation tools which allows application of Discontinuous Galerkin solution of CFD solver. There is also described the elastic analogy deformation tool for curvilinear mesh. To summarize, the two testcases of wing and wing-body configuration aircraft are presented.