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A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows
(Wiley-Blackwell, 2007-06-01)
This paper is concerned with the numerical solutions of time dependent two-dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier-Stokes and mass conservation equations are ...
Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
The immersed boundary method is a versatile tool for the investigation of flow-structure interaction. In a large number of applications, the immersed boundaries or structures are very stiff and strong tangential forces on ...
A Robust, Fully Adaptive Hybrid Level-Set/Front-Tracking Method for Two-Phase Flows with an Accurate Surface Tension Computation
(GLOBAL SCIENCE PRESS, 2010)
We present a variable time step, fully adaptive in space, hybrid method for the accurate simulation of incompressible two-phase flows in the presence of surface tension in two dimensions. The method is based on the hybrid ...
A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows
(Wiley-Blackwell, 2007-06-01)
This paper is concerned with the numerical solutions of time dependent two-dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier-Stokes and mass conservation equations are ...
An implicit class of continuous dynamical system with data-sample outputs: a robust approach
(Oxford University Press, 2020-06-01)
This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential-algebraic equations (DAEs) in the presence ...
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws
(Elsevier, 2015)
We present a semi-analytical, implicit solution to the generalized Riemann problem (GRP) for non-linear systems of hyperbolic balance laws with stiff source terms. The solution method is based on an implicit, time Taylor ...
Implementation of the Moving Particle Semi-implicit method to predict the drag resistance coefficient on 2D
(Universidad EAFITDoctorado en IngenieríaEscuela de Ingeniería, 2016)
A dam break problem and the flow around a 2D submerged body on different scenarios were solved with the original Moving Particle Semi-implicit (MPS) method proposed by Koshizuka and Oka in 1996 -- The results of this study ...
Simulação tridimensional adaptativa da separação das fases de uma mistura bifásica usando a equação de Cahn-Hilliard
(Sociedade Brasileira de Matemática Aplicada e ComputacionalSão Carlos, 2012)
Simulamos a separação dos componentes de uma mistura bifásica com a equação de Cahn-Hilliard. Esta equação contém intrincados termos não lineares e derivadas de alta ordem. Além disso, a delgada região de transição entre ...
Discrete gradient flows for shape optimization and applications
(Elsevier Science Sa, 2007-08)
We present a variational framework for shape optimization problems that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear algebraic systems. Our ...