Journal of Offshore Mechanics and Arctic Engineering · 2000 · 19 citations · 7 references
EngineeringOcean EngineeringPhysicsDifferential EquationsFluid DynamicsFluid MechanicsHydrodynamic ResponseMarine HydrodynamicsRiser SystemsShip Motions In WavesContinuous System DynamicsDrag ForceDynamic ResponseFinite Difference ApproximationMorison EquationNonlinear Dynamic ResponseRiser Dynamic ResponseRiser Dynamics
Riser conveying fluid is a type of moving continuum studied for 50 years, and this paper examines a flexible pipe shaped as a simple catenary with buoyancy at the top. The study evaluates the riser’s response to varying environmental conditions and physical parameters such as internal pressure and fluid velocity and acceleration. The riser is modeled as a beamlike continuous system with a nonlinear partial differential equation that incorporates geometry, wave drag via Morison’s equation, fluid pressures, and internal velocity, and this equation is solved numerically using a finite‑difference scheme embedded in ACSL software. The article is identified by DOI S0892-7219(00)00203-X.
Riser conveying fluid is one category in a wide research area known as moving continua dynamic that was the subject to many research studies in the past 50 yr. The structure investigated in this paper is assumed to be a flexible pipe having a geometry of a simple catenary with a buoyancy force at the top. The riser is modeled as a beamlike continuous system subjected to wave, current, and wind forces. The derivation of the partial differential equation of motion included the following aspects: nonlinearities due to geometry, i.e., large displacements as well as wave drag force, fluid internal and external pressure, and internal fluid velocity and acceleration. The wave forces are approximated via Morison’s equation, where the drag force is proportional to the square of the relative velocity between the riser and the waves. All forces are calculated at the instantaneous position of the riser, causing the equation to be highly nonlinear. The nonlinear partial differential equation of motion is then solved numerically. Finite difference approximation code that was imbedded in ACSL software is used. The equation of motion is solved to evaluate the riser’s response to different environmental conditions and other physical parameters such as internal pressure and fluid velocity and acceleration. [S0892-7219(00)00203-X]
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The Force Exerted by Surface Waves on Piles
J. R. Morison, J. W. Johnson, S. A. Schaaf · Journal of Petroleum Technology · 1950 · 2.6K citations · Full text
Sea Loads On Floating Offshore Systems
Odd M. Faltinsen · Offshore Technology Conference · 1993 · 152 citations