Blar i Brage NMBU på forfatter "Tyvand, Peder A."

A Length Scale Approach to the Highest Standing Water Wave
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2021)The highest standing surface wave at infinite depth is a classical hydrodynamic problem, illuminated by Taylor’s ex cellent experiments [Taylor, G. I., Proc. R. Soc. Lond. Ser. A 218, 44 (1953)]. Based on length scale ... 
A Nonnormalmode Marginal State of Convection in a Porous Box with Insulating EndWalls
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2019)The 4th order DarcyBenard eigenvalue problem for the onset of thermal convection in a 3D rectangular porous box is investigated. We start from a recent 2D model for a rectangle with handpicked boundary conditions defying ... 
A NonnormalMode Marginal State of Convection in a Porous Rectangle
Tyvand, Peder A.; Nøland, Jonas Kristiansen; Storesletten, Leiv (Journal article; Peer reviewed, 2019)The fourthorder Darcy–Bénard eigenvalue problem for onset of thermal convection in a 2D rectangular porous box is investigated. The conventional type of solution has normalmode dependency in at least one of the two spatial ... 
A nonlinear impulsive CauchyPoisson problem. Part 1. Eulerian description
Tyvand, Peder A.; Mulstad, Camilla; Bestehorn, Michael (Peer reviewed; Journal article, 2020) 
A nonlinear impulsive CauchyPoisson problem. Part 2. Lagrangian description
Tyvand, Peder A.; Mulstad, Camilla; Bestehorn, Michael (Peer reviewed; Journal article, 2020) 
Laterally Penetrative Onset of Convection in a Horizontal Porous Layer
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2020)The onset of Darcy–Bénard convection in an unlimited horizontal porous layer is studied theoretically. The thermomechanical boundary conditions of Dirichlet or Neumann type at the lower and upper plane are switched from ... 
NonnormalMode Onset of Convection in a Vertical Porous Cylinder
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2020)This is the first study reporting a full threedimensional (3D) nonnormalmode onset of convection in a porous medium. In this paper, the onset of thermal convection in a vertical porous cylinder is investigated theoretically. ... 
Onset of Convection in a Triangular Porous Prism with RobinType Thermal Wall Condition
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2019)This paper investigates a peculiar case of thermal convection in a vertical porous prism with impermeable and partially conducting walls. We facilitate the analysis in the numerical finiteelement environment alongside ... 
Onset of Convection in TwoDimensional Porous Cavities with Open and Conducting Boundaries
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2021)The onset of thermal convection in twodimensional porous cavities heated from below is studied theoretically. An open (constantpressure) boundary is assumed, with zero perturbation temperature (thermally conducting). The ... 
Oscillatory Convection Onset in a Porous Rectangle with Nonanalytical Corners
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2020)The analytical theory on Darcy–Bénard convection is dominated by normalmode approaches, which essentially reduce the spatial order from four to two. This paper goes beyond the normalmode paradigm of convection onset in ... 
Oscillatory Convection Onset in a Porous Rectangle with Nonanalytical Corners
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2020)The analytical theory on Darcy–Bénard convection is dominated by normalmode approaches, which essentially reduce the spatial order from four to two. This paper goes beyond the normalmode paradigm of convection onset in ... 
Oscillatory NonnormalMode Onset of Convection in a Porous Rectangle
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2019)A special case of the fourthorder Darcy–Bénard problem in a twodimensional (2D) rectangular porous box is investigated. The present eigenfunctions are of nonnormalmode type in the horizontal and vertical directions. ... 
Peaked sloshing in a wedge container
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Journal article; Peer reviewed, 2021)Finiteamplitude freesurface flow in a wedge container is investigated analytically. We study a motionless standing wave of pure potentialflow acceleration with maximal amplitude where its rightangle surface peak falls ... 
Stagnant peaked free surface released at a sloping beach
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2021)A stagnant freesurface flow is an instantaneous flow field of pure acceleration with zero velocity and a deformed surface. There exists a potentialflow acceleration field. With zero velocity and the acceleration field ... 
Transient nonlinear RayleighBénard convection with singlemode initiation
Tyvand, Peder A.; Nøland, Jonas Kristiansen (Peer reviewed; Journal article, 2021)Transient nonlinear convection in a finite Prandtl number fluid heated uniformly from below is studied analytically and numerically. We consider the simple geometry of a square cavity with normalmode compatible boundary ... 
Water waves radiated from an oscillating line source in shear flow with a free surface and nonzero surface velocity
Borge, JanMartin (Master thesis, 20160830)Denne oppgaven beskriver et todimensjonalt linearisert vannbølge problem, der en oscillerende kilde er plassert i vannet. Vi antar at vannet er verken viskøst eller kompressibelt, og at trykket på overflaten er homogent ...