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Results 1 - 10
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887
Efficient Implementation of Weighted ENO Schemes
, 1995
"... In this paper, we further analyze, test, modify and improve the high order WENO (weighted essentially non-oscillatory) finite difference schemes of Liu, Osher and Chan [9]. It was shown by Liu et al. that WENO schemes constructed from the r th order (in L¹ norm) ENO schemes are (r +1) th order accur ..."
Abstract
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Cited by 412 (38 self)
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, especially the WENO scheme using the new smoothness measurement, in resolving complicated shock and flow structures. We have also applied Yang's artificial compression method to the WENO schemes to sharpen contact discontinuities.
BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES ’ PROBLEM
"... Abstract. We propose a low order discontinuous Galerkin method for in-compressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space element wise with a non-conforming quadratic bubble. This enriched space allows for a wider range of pressure spaces. W ..."
Abstract
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Cited by 3 (3 self)
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Abstract. We propose a low order discontinuous Galerkin method for in-compressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space element wise with a non-conforming quadratic bubble. This enriched space allows for a wider range of pressure spaces
Spatially adaptive techniques for level set methods and incompressible flow
- Comput. Fluids
"... Since the seminal work of [92] on coupling the level set method of [69] to the equations for two-phase incompressible flow, there has been a great deal of interest in this area. That work demonstrated the most powerful aspects of the level set method, i.e. automatic han-dling of topological changes ..."
Abstract
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Cited by 73 (15 self)
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differential equation for battling this weakness, without which their work would not have been possible. In this paper, we discuss both historical and most recent works focused on improving the computational accuracy of the level set method focusing in part on applications related to in-compressible flow due
UNSTABLE MODES OF THE Q1–P0 ELEMENT
"... Abstract. In this paper the unstable eigenmodes of Q1–P0 velocity/pressure finite element approximation for in-compressible flow problems are characterised. It is shown that the inf-sup stability constant is O(h) in two dimensions and O(h2) in three dimensions. The basic tool in the analysis is the ..."
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Abstract. In this paper the unstable eigenmodes of Q1–P0 velocity/pressure finite element approximation for in-compressible flow problems are characterised. It is shown that the inf-sup stability constant is O(h) in two dimensions and O(h2) in three dimensions. The basic tool in the analysis
Algebraic flux correction III. Incompressible flow problems
- Flux-Corrected Transport: Principles, Algorithms, and Applications
, 2005
"... Summary. Algebraic FEM-FCT and FEM-TVD schemes are integrated into in-compressible flow solvers based on the ‘Multilevel Pressure Schur Complement’ (MPSC) approach. It is shown that algebraic flux correction is feasible for noncon-forming (rotated bilinear) finite element approximations on unstructu ..."
Abstract
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Cited by 10 (8 self)
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Summary. Algebraic FEM-FCT and FEM-TVD schemes are integrated into in-compressible flow solvers based on the ‘Multilevel Pressure Schur Complement’ (MPSC) approach. It is shown that algebraic flux correction is feasible for noncon-forming (rotated bilinear) finite element approximations
UNIFIED METHODS FOR COMPUTING COMPRESSIBLE AND INCOMPRESSIBLE FLOWS
, 2000
"... To develop unified computing methods that are accurate and efficient both for compressible and incompressible flows, one may modify methods developed for the fully compressible case, or, vice-versa, modify incompressible methods. Both approaches are reviewed. One leads to colocated, the other to st ..."
Abstract
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Cited by 4 (0 self)
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To develop unified computing methods that are accurate and efficient both for compressible and incompressible flows, one may modify methods developed for the fully compressible case, or, vice-versa, modify incompressible methods. Both approaches are reviewed. One leads to colocated, the other
NKS methods for compressible and incompressible flows on unstructured grids
- In these Proceedings
, 1999
"... We review and extend to the compressible regime an earlier parallelization of an implicit incompressible unstructured Euler code [9], and solve for ow over an M6 wing in subsonic, transonic, and supersonic regimes. While the parallelization ..."
Abstract
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Cited by 1 (1 self)
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We review and extend to the compressible regime an earlier parallelization of an implicit incompressible unstructured Euler code [9], and solve for ow over an M6 wing in subsonic, transonic, and supersonic regimes. While the parallelization
Unified computational schemes for incompressible and weakly-compressible flows
, 2003
"... A time-marching Taylor-Galerkin finite element algorithm, based on a pressure-correction method with three fractional stages, is presented. The algorithm is applied in a consistent and unified manner to weakly compressible and incompressible flows. For the compressible regime, two types of density i ..."
Abstract
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Cited by 1 (1 self)
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A time-marching Taylor-Galerkin finite element algorithm, based on a pressure-correction method with three fractional stages, is presented. The algorithm is applied in a consistent and unified manner to weakly compressible and incompressible flows. For the compressible regime, two types of density
Results 1 - 10
of
887
