Browsing by Subject "Discontinuous"
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Item Application of discontinuous schemes to numerical reservoir simulation(1987) Brantferger, Kenneth Mark, 1962-; Sepehrnoori, Kamy, 1951-The numerical modeling of hyperbolic conservation laws is presented using discontinuous schemes based upon exploiting knowledge of the flow entering and leaving a grid block. The solutions are constructed by piecing together local exact solutions taken from Riemann problems. In particular, two schemes are discussed, 1) the uniform sampling method initiated by Glimm and 2) the higher-order Godunov method. The methods are introduced using the convection equation and Buckley-Leverett problem to illustrate their implementation. After the basic concepts have been discussed, the methods are extended to three successively more complex problems involving a spatially dependent flux function describing the flow of acid in a pore throat, a quasilinear hyperbolic equation with a source term implemented in a sandstone matrix acidizing simulator, and a nonstrictly hyperbolic system of conservation laws defining the three phase flow of oil, gas and water in a porous media. For the final problem, the uniform sampling method is applied to a two-dimensional waterflood problem. The example calculations focus on the use of operator splitting, grid orientation effects, and mesh refinementItem Managing necessary paradoxes of broad-based, discontinuous, high-technology products through organizational structure(2010-12) Ullrich, Adam Christian; Ambler, Tony; Canik, RobertIn this paper, I explore what competencies are required for a company with broad-based, discontinuous, high-technology products. Many of the competencies the company must support are seemingly contradictory. Some examples include managing deliberate versus emergent strategy, market focus versus disruptive design, and exploration versus exploitation. I propose a specific organizational structure to support such paradoxical competencies for a company with these characteristic broad, discontinuous, high-technology products.