Staggered Solution Procedures for Doubly Asymptotic Fluid-Structure Interaction Analysis.

Park, K. C.; Felippa, Carlos A.; DeRuntz, J. A.

doi:10.21236/ada058305

Cited by 46 publications

(41 citation statements)

References 3 publications

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“…As discussed in [1], numerically stable and accurate computation is possible through the application of a staggered solution procedure that may be effected as follows. The first of Eq.…”

Section: Interaction Equations and Augmentationmentioning

confidence: 99%

“…Next in importance is accuracy, and both of these topics were addressed in [1] that also includes a number of pertinent references on the subject. Although that work was devoted to the coupling of a finite element model of a structure to a boundary element model of a fluid described by the Doubly Asymptotic Approximation (DAA) [2][3][4], the ideas presented there are pertinent to the numerical solution of coupled field problems in many disciplines.…”

Section: Introductionmentioning

confidence: 99%

“…One important conclusion drawn in [1] is that a so -called staggered solution procedure can be used in which distinct software modules alternately advance the solution in time for the fluid and structural systems and are interfaced through extrapolation of the coupling terms. However, this method is severely limited to small time step sizes with the equation systems in their original form.…”

Section: Introductionmentioning

confidence: 99%

“…Fortunately, another conclusion made there is that a process called augmentation can be used wherein information from one system is introduced into the other system by simple substitution from the governing equations. The method found in [1] that is most suitable is called the displacement extrapolation technique, and in conjunction with appropriate linear multistep operators, achieves unconditional stability with regard to time step size for linear systems. Application of the method to nonlinear structural response has also demonstrated such stability.…”

Section: Introductionmentioning

confidence: 99%

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Augmentation of DAA Staggered – Solution Equations in Underwater Shock Problems for Singular Structural Mass Matrices

DeRuntz

2005

Shock and Vibration

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Abstract. The numerical solution of underwater shock fluid -structure interaction problems using boundary element/finite element techniques became tractable through the development of the family of Doubly Asymptotic Approximations (DAA). Practical implementation of the method has relied on the so-called augmentation of the DAA equations. The fluid and structural systems are respectively coupled by the structural acceleration vector in the surface normal direction on the right hand side of the DAA equations, and the total pressure applied to the structural equations on its right hand side. By formally solving for the acceleration vector from the structural system and substituting it into its place in the DAA equations, the augmentation introduces a term involving the inverse of the structural mass matrix. However there exist at least two important classes of problems in which the structural mass matrix is singular. This paper develops a method to carry out the augmentation for such problems using a generalized inverse technique.

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“…As discussed in [1], numerically stable and accurate computation is possible through the application of a staggered solution procedure that may be effected as follows. The first of Eq.…”

Section: Interaction Equations and Augmentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Augmentation of DAA Staggered – Solution Equations in Underwater Shock Problems for Singular Structural Mass Matrices

DeRuntz

2005

Shock and Vibration

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“…Map of cavitation zone at t = 8 ms, USA-STAGS-CFA [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] …”

Section: -18 19mentioning

confidence: 99%

Finite Element Analysis of Shock-Induced Hull Cavitation

Felippa¹,

DeRuntz²

1982

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A solution procedure for the earthquake analysis of arch dam‐reservoir systems with compressible water

O’Connor¹,

Boot

1988

Earthq Engng Struct Dyn

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SUMMARYTwo processes using the Newmark implicit integration scheme are presented for the analysis of the earthquake response of a three-dimensional model for arch dam-reservoir systems including the effect of compressibility of the water. The solid structure and fluid regions are modelled separately, and the forcing functions at the interface are due to the hydrodynamic pressures from the reservoir acting on the upstream face of the dam wall, and the accelerations from the dam wall acting in turn on the reservoir.For the purposes of an initial investigation, elastic properties are assumed for the material of the dam, whilst in the reservoir radiation damping at the upstream boundary has been included, but bottom absorption has not. The excitation is provided by means of a combisweep which is fashioned so that its continuously varying frequencies pass through the fundamental frequencies of both the arch dam-reservoir system and the reservoir alone. Consequently the response is highly resonant, thus providing a severe test for the numerical procedures. From the numerical results obtained for an example problem it is concluded that both schemes provide an acceptable solution to the problem posed, and the possibility of enhancement to cater for more complex situations is discussed.

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Staggered Solution Procedures for Doubly Asymptotic Fluid-Structure Interaction Analysis.

Cited by 46 publications

References 3 publications

Augmentation of DAA Staggered – Solution Equations in Underwater Shock Problems for Singular Structural Mass Matrices

Augmentation of DAA Staggered – Solution Equations in Underwater Shock Problems for Singular Structural Mass Matrices

Finite Element Analysis of Shock-Induced Hull Cavitation

A solution procedure for the earthquake analysis of arch dam‐reservoir systems with compressible water

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