Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Lederer, Philip A."'
We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) method for discretizing the Navier-Stokes equations. The MCS method's l
Externí odkaz:
http://arxiv.org/abs/2408.06698
Autor:
Lederer, Philip L., Merdon, Christian
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations with respect to several desired structural properties, namely provable convergence, the preservation
Externí odkaz:
http://arxiv.org/abs/2311.06098
We introduce a new discretization based on the Trefftz-DG method for solving the Stokes equations. Discrete solutions of a corresponding method fulfill the Stokes equation pointwise within each element and yield element-wise divergence-free solutions
Externí odkaz:
http://arxiv.org/abs/2306.14600
Publikováno v:
Journal of Computational Physics, 499:112713, 2024
We present a discontinuous Galerkin method for moist atmospheric dynamics, with and without warm rain. By considering a combined density for water vapour and cloud water, we avoid the need to model and compute a source term for condensation. We recov
Externí odkaz:
http://arxiv.org/abs/2305.13847
We assess the ability of three different approaches based on high-order discontinuous Galerkin methods to simulate under-resolved turbulent flows. The capabilities of the mass conserving mixed stress method as structure resolving large eddy simulatio
Externí odkaz:
http://arxiv.org/abs/2301.01678
We are studying the efficient solution of the system of linear equation stemming from the mass conserving mixed stress (MCS) method discretization of the Stokes equations. To that end we perform static condensation to arrive at a system for the press
Externí odkaz:
http://arxiv.org/abs/2207.08481
Autor:
Lederer, Philip L., Stenberg, Rolf
We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in th
Externí odkaz:
http://arxiv.org/abs/2206.14610
Autor:
Gustafsson, Tom, Lederer, Philip L.
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multip
Externí odkaz:
http://arxiv.org/abs/2205.11149
The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the context of geomechanics, has recently found new applications in medicine. In practice, the parameters in the MPET equations can vary over several orders of mag
Externí odkaz:
http://arxiv.org/abs/2205.06732
Autor:
Lederer, Philip L.
We derive optimal and asymptotically exact a posteriori error estimates for the approximation of the Laplace eigenvalue problem. To do so, we combine two results from the literature. First, we use the hypercircle techniques developed for mixed eigenv
Externí odkaz:
http://arxiv.org/abs/2204.03252