高等学校計算数学学報 = Numerical mathematics

Review of summation-by-parts schemes for initial–boundary-value problems

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

http://liu.diva-portal.org/smash/get/diva2:633960/FULLTEXT01

Summation-by-parts in time

New methodology for verification of finite-volume computational methods using unstructured grids is presented. The discretization order properties are studied in computational windows, easily constructed within a collection of grids or a single grid. Tests are performed within each window and address a combination of problem-, solution-, and discretization/grid-related features affecting discretization error convergence. The windows can be adjusted to isolate particular elements of the computational scheme, such as the interior discretization, the boundary discretization, or singularities. Studies can use traditional grid-refinement computations within a fixed window or downscaling, a recently-introduced technique in which computations are made within windows contracting toward a focal point of interest. Grids within the windows are constrained to be consistently refined, allowing a meaningful assessment of asymptotic error convergence on unstructured grids. Demonstrations of the method are shown, including a comparative accuracy assessment of commonly-used schemes on general mixed grids and the identification of local accuracy deterioration at boundary intersections. Recommendations to enable attainment of design-order discretization errors for large-scale computational simulations are given.

/pdf/towards-verification-of-unstructured-grid-solvers-5e5lbst20f.pdf

Towards Verification of Unstructured-Grid Solvers

http://liu.diva-portal.org/smash/get/diva2:534161/FULLTEXT01.pdf

Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

The influence of weak and strong solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations

The Influence of Weak and Strong Solid Wall Boundary Conditions on the Convergence to Steady-State of the Navier-Stokes Equations

http://liu.diva-portal.org/smash/get/diva2:406421/FULLTEXT01.pdf

A stable and conservative method for locally adapting the design order of finite difference schemes

Fluid structure interaction problems : the necessity of a well posed, stable and accurate formulation

/pdf/fluid-structure-interaction-problems-the-necessity-of-a-well-4dk80h08dk.pdf

http://liu.diva-portal.org/smash/get/diva2:418798/FULLTEXT01.pdf

Sofia Eriksson

Papers

Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

The Influence of Weak and Strong Solid Wall Boundary Conditions on the Convergence to Steady-State of the Navier-Stokes Equations

A stable and conservative method for locally adapting the design order of finite difference schemes

Fluid structure interaction problems : the necessity of a well posed, stable and accurate formulation

Analysis of the order of accuracy for node-centered finite volume schemes