Numerical analysis for a chemotaxis-Navier–Stokes system

نویسندگان

چکیده

In this paper we develop a numerical scheme for approximating d -dimensional chemotaxis-Navier–Stokes system, =2, 3, modeling cellular swimming in incompressible fluids. This model describes the chemotaxis-fluid interaction cases where chemical signal is consumed with rate proportional to amount of organisms. We construct approximations based on Finite Element method and analyze optimal error estimates convergence towards regular solutions. order scheme, use splitting technique deal chemo-attraction term cell-density equation, leading introduce new variable given by gradient concentration. Having equivalent model, consider fully discrete approximation which well-posed mass-conservative. obtain uniform scheme. Finally, present some simulations verify good behavior our as well check numerically proved theoretical analysis.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

System Level Numerical Analysis of a Monte Carlo Simulation of the E. Coli Chemotaxis

Over the past few years it has been demonstrated that “coarse timesteppers” establish a link between traditional numerical analysis and microscopic/ stochastic simulation. The underlying assumption of the associated “lift-run-restrict-estimate” procedure is that macroscopic models exist and close in terms of a few governing moments of microscopically evolving distributions, but they are unavail...

متن کامل

System theory for numerical analysis

System theory for numerical analysis has recently become a focus of research. In this paper we regard dynamics of Newton’s method as a nonlinear feedback system and derive convergence conditions, based on the internal model principle and systems of Lur’e type. We then focus our attention on the analysis of the region of absolute stability of Runge-Kutta type methods. We derive a linear matrix i...

متن کامل

Numerical Simulations of Kinetic Models for Chemotaxis

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of bacteria described by a kinetic equation interacting with nutrients and chemoattractants. Numerical simulations are performed to verify accuracy and stability o...

متن کامل

a time-series analysis of the demand for life insurance in iran

با توجه به تجزیه و تحلیل داده ها ما دریافتیم که سطح درامد و تعداد نمایندگیها باتقاضای بیمه عمر رابطه مستقیم دارند و نرخ بهره و بار تکفل با تقاضای بیمه عمر رابطه عکس دارند

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Modelling and Numerical Analysis

سال: 2021

ISSN: ['0764-583X', '1290-3841']

DOI: https://doi.org/10.1051/m2an/2020039