Lines Matching refs:tensor

27 …\lambda (\nabla \cdot \bm{u})\bm{I}_3)$ is the Cauchy (symmetric) stress tensor, with $\mu$ the dy…
81 We use tensor-product bases $\psi_{kji} = h_i(X_0)h_j(X_1)h_k(X_2)$.
89 …omials of degree $p$ (with or without the higher mixed terms that appear in tensor product spaces).
253 where the term in parentheses is a rank-1 diffusivity tensor that has been pulled back to the refer…
278 where $\bm g = \nabla_{\bm x} \bm{X}^T \cdot \nabla_{\bm x} \bm{X}$ is the metric tensor and $\Vert…
372 To do this efficiently, **we assume and exploit the full domain grid to be a tensor product in the …
437 …tensor defining the width of the filter, $\bm{D}$ is the filter width scaling tensor (also a rank …
448 #### Filter width tensor, Δ
467 Specifically, we use the filter width tensor defined in {cite}`prakashDDSGSAnisotropic2022`.
468 …tensor is most conveniently defined by $\bm{\Delta} = \bm{g}^{-1/2}$ where $\bm g = \nabla_{\bm x}…
470 #### Filter width scaling tensor, $\bm{D}$
471 The filter width tensor $\bm{\Delta}$, be it defined from grid based sources or just the homogenous…
497 …y this scalar damping coefficient to the filter width tensor, we construct the wall-damping tensor…
500 It is currently assumed that the second component of the filter width tensor is in the wall-normal …
514 To account for this, we use $\beta$ to scale the filter tensor to the appropriate size, as is done …
733 tensor $\bm{C}$ (such that $\bm{R} = \bm{CC}^T$ ), bulk velocity $U_0$,