Modeling Cardiovascular Flow with Artificial Viscosity: Analyzing Navier-Stokes Solutions and Simulating Cardiovascular Diseases

Hilal Karadavut; Gülnur Haçat; Aytekin Çıbık

Makale detayları

Modeling Cardiovascular Flow with Artificial Viscosity: Analyzing Navier-Stokes Solutions and Simulating Cardiovascular Diseases

Yazarlar:

Hilal Karadavut | Gülnur Haçat | Aytekin Çıbık

Yayıncı:

Gazi University

Ana Başlıklar:

Finite Element Analysis

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.463-480

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324029

pISSN:

2147-9542

Anahtar kelimeler:

Özet:

 In this paper, the numerical solutions of the Navier-Stokes equations NSE used for modeling the flow in the cardiovascular system are investigated using the Finite Element Method FEM. A fully discrete solution scheme of the NSE and its stability and error analysis are presented. Artificial viscosity stabilization is added to the fully discrete scheme to better model the real flow structure and to remove non-physical oscillations. Numerical tests are also presented to demonstrate the effectiveness of the resulting scheme. Simulations analyzing the flow structure in the case of cardiovascular diseases such as atherosclerosis and brain aneurysm are presented in detail along with wall shear stress values.

 In this paper, the numerical solutions of the Navier-Stokes equations NSE used for modeling the flow in the cardiovascular system are investigated using the Finite Element Method FEM. A fully discrete solution scheme of the NSE and its stability and error analysis are presented. Artificial viscosity stabilization is added to the fully discrete scheme to better model the real flow structure and to remove non-physical oscillations. Numerical tests are also presented to demonstrate the effectiveness of the resulting scheme. Simulations analyzing the flow structure in the case of cardiovascular diseases such as atherosclerosis and brain aneurysm are presented in detail along with wall shear stress values.

 In this paper, the numerical solutions of the Navier-Stokes equations NSE used for modeling the flow in the cardiovascular system are investigated using the Finite Element Method FEM. A fully discrete solution scheme of the NSE and its stability and error analysis are presented. Artificial viscosity stabilization is added to the fully discrete scheme to better model the real flow structure and to remove non-physical oscillations. Numerical tests are also presented to demonstrate the effectiveness of the resulting scheme. Simulations analyzing the flow structure in the case of cardiovascular diseases such as atherosclerosis and brain aneurysm are presented in detail along with wall shear stress values.

 In this paper, the numerical solutions of the Navier-Stokes equations NSE used for modeling the flow in the cardiovascular system are investigated using the Finite Element Method FEM. A fully discrete solution scheme of the NSE and its stability and error analysis are presented. Artificial viscosity stabilization is added to the fully discrete scheme to better model the real flow structure and to remove non-physical oscillations. Numerical tests are also presented to demonstrate the effectiveness of the resulting scheme. Simulations analyzing the flow structure in the case of cardiovascular diseases such as atherosclerosis and brain aneurysm are presented in detail along with wall shear stress values.

Makale detayları

Modeling Cardiovascular Flow with Artificial Viscosity: Analyzing Navier-Stokes Solutions and Simulating Cardiovascular Diseases

Yazarlar:

Hilal Karadavut | Gülnur Haçat | Aytekin Çıbık

Yayıncı:

Gazi University

Ana Başlıklar:

Finite Element Analysis

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.463-480

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324029

pISSN:

2147-9542

Artificial Viscosity

Cardiovascular Diseases

Finite Element Method

Navier-Stokes Equations

Sayı

Makale detayları

Modeling Cardiovascular Flow with Artificial Viscosity: Analyzing Navier-Stokes Solutions and Simulating Cardiovascular Diseases

Yazarlar: Hilal Karadavut | Gülnur Haçat | Aytekin Çıbık

Yayıncı: Gazi University

Ana Başlıklar: Finite Element Analysis

Dergi: Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.463-480

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001324029

pISSN: 2147-9542

Artificial Viscosity

Cardiovascular Diseases

Finite Element Method

Navier-Stokes Equations

Sayı

Yazarlar:

Hilal Karadavut | Gülnur Haçat | Aytekin Çıbık

Yayıncı:

Gazi University

Ana Başlıklar:

Finite Element Analysis

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.11 Issue 3, pp.463-480

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324029

pISSN:

2147-9542