Research reports

Years: 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Harmonic Balance Techniques in Cardiovascular Fluid Mechanics

by T. S. Koltukluoglu and G. Cvijetic and R. Hiptmair

(Report number 2019-55)

Abstract
In cardiovascular fluid mechanics, the typical flow regime is unsteady and periodic in nature as dictated by cardiac dynamics. Most studies featuring computational simulations have approached the problem exploiting the traditional mathematical formulation in the time domain, an approach that incurs huge computational cost. This work explores the application of the harmonic balance method as an alternative numerical modeling tool to resolve the dynamic nature of blood flow. The method takes advantage of the pulsatile regime to transform the original problem into a family of equations in frequency space, while the combination of the corresponding solutions yields the periodic solution of the original problem. As a result of this study we conclude that only a few harmonics are required for resolving the presented fluid flow problem accurately and the method is worth of further investigation in this field.

Keywords: Harmonic balance, cardiac dynamics, pulsatile blood flow.

@Techreport{KCH19_859,
  author = {T. S. Koltukluoglu and G. Cvijetic and R. Hiptmair},
  title = {Harmonic Balance Techniques in Cardiovascular Fluid Mechanics},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2019-55},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2019/2019-55.pdf },
  year = {2019}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).