In this talk, I will present an overview of the numerical models that have been developed during the last few years for the performance prediction of America's Cup yachts. Different aspects which characterize the behaviour of racing boats will be discussed, such as the role of the yacht appendages, the dynamical response of the yacht in calm and...
Creator:
Parolini, Nicola (Politecnico di Milano)
Created:
2011-03-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will describe the derivation of mathematical and numerical models for the simulation of high performance rowing boats. Rowing boats are a complex dynamical system strongly affected by the rowers action and movements. Indeed a rowing boat hardly moves with constant speed, but it is instead subject to a complex system of secondary ...
Creator:
Formaggia, Luca (Politecnico di Milano)
Created:
2011-03-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Weak van der Waals interactions between 2D materials layers do not impose limitations on integrating highly disparate materials such as graphene, hexagonal boron nitride and many others. This is both a blessing, allowing the realization of many more configurations, and a curse from a modeling perspective due to the loss of periodicity. Unusual g...
Creator:
Cazeaux, Paul (University of Minnesota, Twin Cities)
Created:
2017-05-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe the basic building blocks required to construct an effective numerical model to simulate propagating hydraulic fractures. I will discuss some of the unique the challenges faced when attempting to model propagating hydraulic fractures and some of the techniques that can be used to resolve these problems. I will demons...
Creator:
Peirce, Anthony (University of British Columbia)
Created:
2015-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This set of lectures will provide a basic introduction to hyperbolic systems of conservation laws in one space dimension. The main topics covered will be: Meaning of the conservation equations and definition of weak solutions.Shocks, Rankine-Hugoniot equations and admissibilityconditions.The Riemann problem. Wave interaction estimates.Weak solut...
Creator:
Shu, Chi-Wang (Brown University)
Created:
2009-07-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This set of lectures will provide a basic introduction to hyperbolic systems of conservation laws in one space dimension. The main topics covered will be: Meaning of the conservation equations and definition of weak solutions.Shocks, Rankine-Hugoniot equations and admissibilityconditions.The Riemann problem. Wave interaction estimates.Weak solut...
Creator:
Shu, Chi-Wang (Brown University)
Created:
2009-07-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This set of lectures will provide a basic introduction to hyperbolic systems of conservation laws in one space dimension. The main topics covered will be: Meaning of the conservation equations and definition of weak solutions.Shocks, Rankine-Hugoniot equations and admissibilityconditions.The Riemann problem. Wave interaction estimates.Weak solut...
Creator:
Shu, Chi-Wang (Brown University)
Created:
2009-07-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this course we will give an introduction to conservativeshort capturing numerical methods for solving multi-dimensionalsystems of conservation laws. High order accurate finitedifference, finite volume and discontinuous Galerkin finiteelement methods will be covered. We will start with thebasic algorithm issues in a simple scalar one dimension...
Creator:
Shu, Chi-Wang (Brown University)
Created:
2009-07-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will discuss two related projects. Work with A. Layton has the goal of designing a second-order accurate numerical method for viscous fluid flow with a moving elastic interface with zero thickness, the original problem for which Peskin introduced the immersed boundary method. We will discuss some of the background for such numerical methods. ...
Creator:
Beale, J. Thomas (Duke University)
Created:
2010-02-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Differences in solute concentration across a semipermeable membrane of cells generates transmembrane osmotic water flow. The interaction of such flows with membrane and flow mechanics is an important area in many biological applications. Particularly, in recent studies, experimental evidence suggests that membrane ion channels and aquaporins (wa...
Creator:
Yao, Lingxing (Case Western Reserve University)
Created:
2018-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A procedure for the numerical computation of frequencies andamplitudes of quasi-periodic functions from equally spaced samples will be presented. It is based on a collocation-like strategy in frequency domain, using the Discrete Fourier Transform (DFT). Comments will be made on the practical choice of parameters in order to obtain high precision...
Creator:
Mondelo, Jose-Maria (Autonomous University of Barcelona)
Created:
2011-06-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will presents the results concerning different aspects of the performance optimization of a swimsuit. The influence of the sewing on the performance has been analyzed: the results have proved a relevant improvements (in term of drag reduction and course time gain) when sewings are not present on the surface of the swimsuit.We wil...
Creator:
Miglio, Edie (Politecnico di Milano)
Created:
2011-03-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We study a minimax control problem with general state and action spaces under the discounted cost optimality criterion. We are interested in approximating numerically the value function and an optimal strategy of this general discounted minimax control problem. To do so, we provide an approximating minimax control model with finite state and act...
Creator:
Prieto, Tomas (Universidad Nacional de Educacion a Distancia (UNED))
Created:
2018-05-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Partial Differential Equations with stochastic coefficients are a suitable tool to describe systems whose parameters are not completely determined, either because of measurement errors or intrinsic lack of knowledge on the system.In the case of linear elliptic PDEs with random inputs, an effective strategy to approximate the state variables and ...
Creator:
Tempone, Raul F. (King Abdullah University of Science & Technology)
Created:
2013-01-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk focuses on the issues that arise when modeling andsimulating fluids containing rod--like molecules (nematics). The(average) orientation of these fluids is typically modeled by a unitvector field which complicates both the analysis and numericalsolution of these equations. In particular,i) The unit length constraint gives rise to topolo...
Creator:
Walkington, Noel (Carnegie Mellon University)
Created:
2018-01-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A classical result of P. Lax states that 'a (linear) numericalscheme converges if and only if it is stable and consist'. For nonlinearproblems this statement needs to augmented to include a compactness hypothesessufficient to guarantee convergence of the nonlinear terms. This talk willfocus on the development of numerical schemes for parabolic e...
Created:
2010-02-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We study a numerical approximation of the optimal long-run average cost of a continuous-time Markov decision process, with Borel state and action spaces, and with bounded transition and reward rates. Our approach uses a suitable discretization of the state and action spaces to approximate the original control model. The approximation error for t...
Creator:
Dufour, Francois (Universite de Bordeaux I)
Created:
2018-05-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Regge calculus was introduced in 1961 as a coordinate free and discrete analogue of Einstein's theory of gravitation. Yet, in spite of its beautiful geometric features, the bulk of numerical computations in general relativity is, as of today, carried out by other methods. In this talk I will present the main results I have obtained on the numeri...
Creator:
Christiansen, Snorre H. (Centre of Mathematics for Applications)
Created:
2014-10-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.