A5046346952- Advanced Numerical Methods in Computational Mathematics
- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics and Turbulent Flows
- Fluid Dynamics and Vibration Analysis
- Lattice Boltzmann Simulation Studies
- Model Reduction and Neural Networks
- Advanced Mathematical Modeling in Engineering
- Cardiovascular Function and Risk Factors
- Elasticity and Material Modeling
- Aerodynamics and Acoustics in Jet Flows
- Gas Dynamics and Kinetic Theory
- Numerical methods for differential equations
- Acoustic Wave Phenomena Research
- Wind and Air Flow Studies
- Cardiac Valve Diseases and Treatments
- Advanced MRI Techniques and Applications
- History and Theory of Mathematics
- Electromagnetic Simulation and Numerical Methods
- Vibration and Dynamic Analysis
- NMR spectroscopy and applications
- Numerical methods in engineering
- Computability, Logic, AI Algorithms
- Distributed and Parallel Computing Systems
- Aerodynamics and Fluid Dynamics Research
- Navier-Stokes equation solutions
KTH Royal Institute of Technology
2016-2025
Basque Center for Applied Mathematics
2014-2020
Swedish e-Science Research Centre
2015-2018
Chalmers University of Technology
2001-2006
Courant Institute of Mathematical Sciences
2003-2005
New York University
2003-2004
Boeing (United States)
1989
Due to advances in medical imaging, computational fluid dynamics algorithms and high performance computing, computer simulation is developing into an important tool for understanding the relationship between cardiovascular diseases intraventricular blood flow. The field of cardiac flow challenging highly interdisciplinary. We apply a framework automated solutions partial differential equations using Finite Element Methods where any mathematical description directly can be translated code....
Abstract In this paper, we identify and propose solutions for several issues encountered when designing a mesh adaptation package, such as mesh‐to‐mesh projections database design, describe an algorithm to integrate procedure in physics solver. The open‐source MAdLib package is presented example of library. A new technique combining global node repositioning optimization order perform arbitrarily large deformations also proposed. We then present test cases evaluate the performances proposed...
The triple decomposition of a velocity gradient tensor provides an analysis tool in fluid mechanics by which the flow can be split into sum irrotational straining flow, shear and rigid body rotational flow. In 2007, Kolář formulated optimization problem to compute [V. Kolář, “Vortex identification: New requirements limitations,” Int. J. Heat Fluid Flow 28, 638–652 (2007)], more recently, has been connected Schur form associated matrix. We show that standardized real form, computed state art...
The International Energy Agency Technology Collaboration Programme for Ocean Systems (OES) initiated the OES Wave Conversion Modelling Task, which focused on verification and validation of numerical models simulating wave energy converters (WECs). long-term goal is to assess accuracy establish confidence in use used design as well power performance assessment WECs. To this confidence, authors different existing computational modelling tools simulate given tasks identify uncertainties related...
Introduction Aortic stiffness plays a critical role in the evolution of cardiovascular diseases, but assessment requires specialized equipment. Photoplethysmography (PPG) and single-lead electrocardiogram (ECG) are readily available healthcare wearable devices. We studied whether brief PPG registration, alone or combination with ECG, could be used to reliably estimate aortic stiffness. Methods A proof-of-concept study simultaneous high-resolution index finger recordings infrared PPG, blood...
ABSTRACT Simulations of blood flow in patient‐specific models heart ventricles is a rapidly developing field research, showing promise to improve future treatment diseases. Fluid‐structure interaction simulation the mitral valve, with its complex structure including leaflets, chordae tendineae, and papillary muscles, provides additional prospects as well challenges such models. In this study, we combine model left ventricle an idealized unified continuum fluid‐structure simulate...
SUMMARY In this paper, we present a finite element method with residual‐based artificial viscosity for simulation of turbulent compressible flow, adaptive mesh refinement based on posteriori error estimation sensitivity information from an associated dual problem. The acts as numerical stabilization, shock capturing, and turbulence capturing large eddy flow. resolves parts the flow indicated by estimates but leaves shocks under‐resolved in simulation. is tested examples 2D 3D validated...
Abbreviations: ATP, adenosine triphosphate; CTCF, corrected Total Cell Fluorescence; CTX-I, c-terminal telopeptides of type I collagen; Duty cycle (DC), percent active loading duration per one period; HALF, stimulation profile with high amplitude (3.0 ± 0.2 Pa) and low frequency (1 Hz); LAHF, (0.7 0.3 (5 LALF, LDH, lactate dehydrogenase; M-CSF, macrophage colony stimulating factor; PWSSR, peak wall shear stress rate; RANKL, receptor activator nuclear factor kappa-Β ligand/ tumor necrosis...
We compute the time average of drag in two benchmark bluff body problems: a surface mounted cube at Reynolds number 40000, and square cylinder 22000, using adaptive DNS/LES. In DNS/LES Galerkin least-squares finite element method is used, with mesh refinement until given stopping criterion satisfied. Both are based on posteriori error estimates output interest, form space-time integral computable residual multiplied by dual weight, where weight obtained from solving an associated problem...
Adaptive DNS/LES (direct numerical simulation/large-eddy simulation) is used to compute the drag coefficient . Both stopping criterion and mesh refinement strategy are based on a posteriori error estimates, in form of space–time integral residuals multiplied by derivatives solution an associated dual problem, linearized at approximate solution, with data coupling output interest. There no filtering equations, thus Reynolds stresses introduced that need modelling. The stabilization method...
In this paper we describe a general adaptive finite element framework for unstructured tetrahedral meshes without hanging nodes suitable large scale parallel computations. Our is designed to linearly several thousands of processors, using fully distributed and efficient algorithms. The key components our implementation, local mesh refinement load balancing algorithms, are described in detail. Finally, present theoretical experimental performance study framework, used computational fluid...
Abstract General Galerkin (G2) is a new computational method for turbulent flow, where stabilized finite element used to compute approximate weak solutions the Navier–Stokes equations directly, without any filtering of as in standard approach turbulence simulation, such large eddy and thus no Reynolds stresses are introduced, which need modelling. In this paper, G2 drag coefficient c D flow past circular cylinder at number Re =3900, turbulent. It found that it possible an accuracy few...
We derive a posteriori error estimates for the filtered velocity field in large eddy simulation various norms and linear functionals. The take form of an integral space-time discretization residual modeling times dual weight. is directly computable, estimated by scale similarity model. approximate weight solving associated linearized problem numerically. Computational examples from transition to turbulence Couette flow are presented.
In this paper, we describe an incompressible Unified Continuum (UC) model in Euler (laboratory) coordinates with a moving mesh for tracking the fluid-structure interface as part of discretization, allowing simple and general formulation efficient computation. The consists conservation equations mass momentum, phase convection equation Cauchy stress variable θ data defining material properties constitutive laws. We target realistic 3D turbulent interaction (FSI) applications, where show...
The massive computational cost for resolving all turbulent scales makes a direct numerical simulation of the underlying Navier-Stokes equations impossible in most engineering applications. We present recent advances parallel adaptive finite element methodology that enable us to efficiently compute time resolved approximations complex geometries with error control. In this paper we LES flow past full car model, where adaptively refine unstructured mesh minimize drag prediction. was partly...