NONLINEAR WAVE TRANSMISSION AND PRESSURE ON THE FIXED TRUNCATED BREAKWATER USING NURBS NUMERICAL WAVE TANK
Keywords:
FULLY NONLINEAR, NUMERICAL WAVE TANK, MIXED EULARIAN-LAGRANGIAN, NURBS, POTENTIAL FLOWAbstract
FULLY NONLINEAR WAVE INTERACTION WITH A FIXED BREAKWATER IS INVESTIGATED IN A NUMERICAL WAVE TANK (NWT). THE POTENTIAL THEORY AND HIGH-ORDER BOUNDARY ELEMENT METHOD ARE USED TO SOLVE THE BOUNDARY VALUE PROBLEM. TIME DOMAIN SIMULATION BY A MIXED EULERIAN-LAGRANGIAN (MEL) FORMULATION AND HIGH-ORDER BOUNDARY INTEGRAL METHOD BASED ON NON UNIFORM RATIONAL B-SPLINE (NURBS) FORMULATION IS EMPLOYED TO SOLVE THE EQUATIONS. AT EACH TIME STEP, LAPLACE EQUATION IS SOLVED IN EULERIAN FRAME AND FULLY NON-LINEAR FREE-SURFACE CONDITIONS ARE UPDATED IN LAGRANGIAN MANNER THROUGH MATERIAL NODE APPROACH AND FOURTH ORDER RUNGE-KUTTA TIME INTEGRATION SCHEME. INCIDENT WAVE IS FEEDING BY SPECIFYING THE NORMAL FLUX OF APPROPRIATE WAVE POTENTIAL ON THE FIXED INFLOW BOUNDARY. TO ENSURE THE OPEN WATER CONDITION, AND TO REDUCE THE REFLECTED WAVE ENERGY INTO THE COMPUTATIONAL DOMAIN, TWO DAMPING ZONES ARE PROVIDED ON BOTH ENDS OF THE NUMERICAL WAVE TANK. THE CONVERGENCE AND STABILITY OF THE PRESENTED NUMERICAL PROCEDURE ARE EXAMINED AND COMPARED WITH THE ANALYTICAL SOLUTIONS. WAVE REFLECTION AND TRANSMISSION OF NONLINEAR WAVES WITH DIFFERENT STEEPNESS ARE INVESTIGATED. ALSO, CALCULATION OF WAVE LOAD ON THE BREAKWATER IS EVALUATED BY FIRST AND SECOND ORDER TIME DERIVATIVES OF THE POTENTIAL.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).