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- Publications
- Influence
High-Order Preserving Residual Distribution Schemes for Advection-Diffusion Scalar Problems on Arbitrary Grids
- R. Abgrall, D. D. Santis, M. Ricchiuto
- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 22 May 2014
TLDR
Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations
- R. Abgrall, D. D. Santis
- Mathematics, Computer Science
- J. Comput. Phys.
- 15 February 2015
TLDR
High-order linear and non-linear residual distribution schemes for turbulent compressible flows
- D. D. Santis
- Mathematics
- 1 March 2015
A high-order Residual Distribution scheme for the solution of the compressible RANS equations is developed. The one-equation Spalart-Allmaras turbulence model is solved in a fully coupled approach;… Expand
A non-linear residual distribution scheme for real-gas computations
- R. Abgrall, P. Congedo, D. D. Santis, Nassim Razaaly
- Mathematics
- 10 October 2014
Abstract This paper deals with a high-order accurate Residual Distribution scheme for the numerical solution of dense gas flows on unstructured grids. Dense gas-dynamics studies the flow of gases in… Expand
Development of a high-order residual distribution method for Navier-Stokes and RANS equations
- D. D. Santis
- Mathematics
- 3 December 2013
The construction of compact high-order Residual Distribution schemes for the discretizationof steady multidimensional advection-diffusion problems on unstructuredgrids is presented. Linear and… Expand
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Equivalence Conditions for Finite Volume/Element Discretizations in Cylindrical Coordinates
- D. D. Santis, G. Geraci, A. Guardone
- Physics
- 2010
Abstract. A novel numerical technique for the solution of the compressible flow equations over unstructured grids in a cylindrical reference is presented. The proposed approach is based on a mixed… Expand
A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid-structure interaction problems
- D. Z. Huang, D. D. Santis, C. Farhat
- Computer Science
- J. Comput. Phys.
- 15 July 2018
TLDR
High order residual distribution scheme for Navier-Stokes equations.
- R. Abgrall, D. D. Santis
- Mathematics
- 27 June 2011
In this work we describe the use of the Residual Distribution schemes for the discretization of the conservation laws. In particular, emphasis is put on the construction of a third order accurate… Expand
Equivalence conditions between linear Lagrangian finite element and node-centred finite volume schemes for conservation laws in cylindrical coordinates
- D. D. Santis, G. Geraci, A. Guardone
- Mathematics
- 10 March 2014
SUMMARY
A complete set of equivalence conditions, relating the mass-lumped Bubnov–Galerkin finite element (FE) scheme for Lagrangian linear elements to node-centred finite volume (FV) schemes, is… Expand
Numerical approximation of parabolic problems by residual distribution schemes
- R. Abgrall, G. Baurin, A. Krust, D. D. Santis, Mario Ricchiuto
- Mathematics
- 30 March 2013
SUMMARY
We are interested in the numerical approximation of steady scalar convection–diffusion problems by means of high order schemes called Residual Distribution schemes. In the inviscid case, one… Expand