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High-order upwinding and the hydraulic jump
(Wiley-Blackwell, 2002-07-10)
This work is concerned with the computation of incompressible axisymmetric and fall three-dimensional free-surface flows. In particular, the circular-hydraulic jump is simulated and compared with approximate analytic ...
A continuously differentiable upwinding scheme for the simulation of fluid flow problems
(Elsevier B.V., 2012-05-01)
This paper deals with the numerical solution of complex fluid dynamics problems using a new bounded high resolution upwind scheme (called SDPUS-C1 henceforth), for convection term discretization. The scheme is based on TVD ...
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 ...
A bounded upwinding scheme for computing convection-dominated transport problems
(Pergamon-Elsevier B.V. Ltd, 2012-03-30)
A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the ...
Evaluation of a bounded high order upwind scheme for 3D incompressible free surface flow computations
(Elsevier B.V., 2009-02-01)
fit the context of normalized variable formulation (NVF) of Leonard and total variation diminishing (TVD) constraints of Harten. this paper presents an extension of it previous work by the authors for solving unsteady ...
Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems
(John Wiley & Sons Ltd, 2009-05-10)
This article deals with the Study of the development and application of the high-order upwind ADBQUICKEST scheme, an adaptative bounded version of the QUICKEST for unsteady problems (Commun. Numer Meth. Engng 2007; ...
Simulation results and applications of an advection bounded scheme to practical flows
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2012-01-01)
This paper reports experiments on the use of a recently introduced advection bounded upwinding scheme, namely TOPUS (Computers & Fluids 57 (2012) 208-224), for flows of practical interest. The numerical results are compared ...
A continuously differentiable upwinding scheme for the simulation of fluid flow problems
(Elsevier Inc.Amsterdam, 2012)
This paper deals with the numerical solution of complex fluid dynamics problems using a new bounded high resolution upwind scheme (called SDPUS-C1 henceforth), for convection term discretization. The scheme is based on TVD ...
A C2-continuous high-resolution upwind convection scheme
(2013-08-30)
A bounded upwinding scheme for numerical solution of hyperbolic conservation laws and Navier-Stokes equations is presented. The scheme is based on convection boundedness criterion and total variation diminishing stability ...
Evaluation of a bounded high order upwind scheme for 3D incompressible free surface flow computations
(ELSEVIER SCIENCE BV, 2009)
fit the context of normalized variable formulation (NVF) of Leonard and total variation diminishing (TVD) constraints of Harten. this paper presents an extension of it previous work by the authors for solving unsteady ...