L. J. Fauci and A. L. Fogelson, Truncated Newton Method and the Modeling of Complex Immersed Elastic Structures, Communication on Pure and Applied Mathematics, XLVI (1993), pp. 787--818.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....dominant restriction on the time step, hence the restriction on the time step imposed by the explicit differencing of advective and diffusive terms is not an issue. The implementation of integrators for problems where the stiffness in the boundary makes the time step unreasonably small (see e.g. [10], 15] is a topic of future work. The interpolation procedure in step 6 is not tied to the spreading operator, as is the case in the immersed boundary method. Here, a 4 4 patch of grid surrounding each immersed boundary point is used to compute its velocity with a bi cubic polynomial ....

L. J. Fauci and A. L. Fogelson. Truncated Newton methods and the modeling of complex immersed elastic structures. Comm. Pure Appl. Math., 46:787--818, 1993.

....wetton math.ubc.ca INTRODUCTION The Immersed Boundary Method was developed by Peskin [1] to simulate the flow of blood through artificial heart valves. It has since been extended to three dimensions [2] and applied to various other physical situations, including swimming microorganisms [3, 4], amoeboid locomotion [5] and plasma simulations [6] to name a few. The main strengths of the method are its geometric flexibility and its ability to compute realistic qualitative results in situations where complex elastic interfaces or fibers interact with a surrounding fluid. The heart ....

....work by Roma [7] uses adaptive gridding to overcome this limitation. Immersed boundary computations have also been demonstrated to suffer from a high degree of stiffness [8] Even though a considerable amount of work has gone into developing improved schemes for coupling the fluid and fiber motion [3, 9, 8, 7], efficient implementations are forthcoming, and many computations are still being done with explicit schemes ( 4] for example) In this paper we present an analytical technique, based on Fourier mode analysis, which allows us to investigate the stability of the underlying equations of motion ....

L. J. Fauci and A. L. Fogelson. Truncated Newton methods and the modeling of complex immersed elastic structures. Comm. Pure Appl. Math., 46:787--818, 1993.

....present some related work in section 7, and conclude in section 8. 2. Application Overview Biologistsuse computational models of bodies immersed in an incompressible fluid to help understanding blood flow in the heart [16] the growth of embryos [18] platelet aggregation during blood clotting [12], sperm motility [12] and other biological phenomena. This simulation technique, known as the immersed boundary method, was first developed by Charles Peskin to model blood flow in the heart in order to aid the design of artificial heart valves. The simulation s key concept is to model the system ....

....work in section 7, and conclude in section 8. 2. Application Overview Biologistsuse computational models of bodies immersed in an incompressible fluid to help understanding blood flow in the heart [16] the growth of embryos [18] platelet aggregation during blood clotting [12] sperm motility [12], and other biological phenomena. This simulation technique, known as the immersed boundary method, was first developed by Charles Peskin to model blood flow in the heart in order to aid the design of artificial heart valves. The simulation s key concept is to model the system as a network of ....

F. Fauci and A. Fogelson. Truncated newton methods and the modeling of complex immersed elastic structures. Communications on Pureand Applied Mathematics, XLVI, 1993.

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L. J. Fauci and A. L. Fogelson, Truncated Newton Method and the Modeling of Complex Immersed Elastic Structures, Communication on Pure and Applied Mathematics, XLVI (1993), pp. 787--818.

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