Shape optimization of Stokesian peristaltic pumps using boundary integral methods
نویسندگان
چکیده
منابع مشابه
Shape optimization of peristaltic pumping
Transport is a fundamental aspect of biology and peristaltic pumping is a fundamental mechanism to accomplish this; it is also important to many industrial processes. We present a variational method for optimizing the wave shape of a peristaltic pump. Specifically, we optimize the wave profile of a two dimensional channel containing a Navier–Stokes fluid with no assumption on the wave profile o...
متن کاملPeristaltic Pumps
Peristaltic pumps are mechanical displacement pumps that induce flow in a fluid-filled, flexiblewalled conduit through peristalsis – transport due to traveling contraction waves. While macroscale peristaltic pumps appear in a variety of configurations, micropumps based on this principle almost exclusively use the sequenced contraction and expansion of a small number of discrete actuators – typi...
متن کاملBoundary Integral Representations of Second Derivatives in Shape Optimization
For a shape optimization problem second derivatives are investigated, obtained by a special approach for the description of the boundary variation and the use of a potential ansatz for the state. The natural embedding of the problem in a Banach space allows the application of a standard differential calculus in order to get second derivatives by a straight forward ”repetition of differentiation...
متن کاملIsogeometric analysis and shape optimization via boundary integral
In this paper, we present a boundary integral based approach to isogeometric analysis and shape optimization. For analysis, it uses the same basis, Non-Uniform Rational B-Spline (NURBS) basis, for both representing object boundary and for approximating physical fields in analysis via a Boundary-Integral-Equation Method (BIEM). We propose the use of boundary points corresponding to Greville absc...
متن کاملUniform Cusp Property, Boundary Integral, and Compactness for Shape Optimization
In this paper we consider the family of sets verifying the uniform cusp property introduced in [2] and extended in [4] to cusp functions only continuous a t the origin. In the latter case we show that to any extended cusp function, we can associate a continuous, non-negative, and monotone strictly increasing cusp function of the type introduced in [2]. We construct an example of a bounded set i...
متن کاملذخیره 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: Advances in Computational Mathematics
سال: 2020
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-020-09761-7