An introduction to reduced basis method for parametrized PDEs
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A numerical model is presented for the simulation of complex fluid flows with free surfaces. The unknowns are the velocity and pressure fields in the liquid region, together with a function defining the volume fraction of liquid. Although the mathematical ...
This paper presents a general method for incorporating prior knowledge into kernel methods. It applies when the prior knowledge can be formalized by the description of an object around each sample of the training set, assuming that all points in the given ...
An algorithm for the simulation of unsteady, viscous, stratified compressible flows, which remains valid at all speeds, is presented. The method is second-order accurate in both space and time and is independent of the Mach number. In order to remove the s ...
An algorithm for the simulation of unsteady, viscous, stratified compressible flows, which remains valid at all speeds, is presented. The method is second-order accurate in both space and time and is independent of the Mach number. In order to remove the s ...
The present invention provides methods and apparatus for locally patterning surfaces. In one such method, an oxidizable thioether is adsorbed onto a conductive surface 10. The surface is then contacted with a fluid medium M. A conducting stamp 12 is then b ...
A boundary variation method for the fast and accurate modeling of three-dimensional waveguide grating couplers is presented. The algorithm is verified by detailed comparisons with the results of a rigorous spectral collocation method, showing excellent agr ...
A nonlinear method has been developed to separate arterial pressure and flow waves into their forward and backward running components. It takes into account nonlinearities arising from the area-pressure relationship as well as convective acceleration. The ...
This paper addresses the problem of modeling and estimating the cost of the heat exchanger network (HEN) in multi-period operation using pinch technique concepts. The developed method improves the vertical heat exchanges technique originally proposed by Ah ...
Theoretical investigations and numerical and laboratory experiments were conducted to evaluate the feasibility and limitations of describing solute transport and water flow in regularly structured porous media with an equivalent homogeneous continuum appro ...
The ultrasound pulse transmission or echo technique is described for measuring the sp. interfacial area, bubble size, gas hold up, and no. of bubbles per unit vol. in gas-liq. dispersion. Expts. on the application of the method to simulated and real fermns ...