A moonpool (Moonpool ) is of fore-aft and port-starboard symmetry in FRA

Only a quarter of the moonpool boundaries is required to be meshed. The composite source distribution method discussed in Composite Source Distribution Method for Symmetric Structures is directly used for the potential due to the prescribed pressure modes on this moonpool's internal mean free surface.

A moonpool (Moonpool ) is of port-starboard symmetry in FRA and there is an OYZ plane mirrored moonpool (Moonpool )

The internal mean free surface area center is at . Only the port or starboard part of the -th moonpool boundaries is required to be meshed. prescribed pressure modes on the -th moonpool internal mean free surface are input and defined by Equation 4–125 through Equation 4–127. A set of the extended pressure mode on the -th moonpool mean free surface is mirrored from the predefined, based on the property of the prescribed pressure mode on , i.e.

(4–132)

where is the x- and y-coordinates of the point on of which the area center is at .

Equation 4–132 can be further written as

(4–133)

where if is an even function of x and if is an odd function of x.

To further define the composite potentials due to these pressure modes on either the port or starboard part of , a set of the composite pressure modes on the free surface panel on defined half-part of can be presented as

(4–134)

(4–135)

(4–136)

(4–137)

Composite Source Distribution Method for Symmetric Structures is applied to obtain the source strength and velocity potential on the whole boundary surface .

A moonpool (Moonpool ) is of fore-aft symmetry in FRA and there is an OXZ plane mirrored moonpool (Moonpool )

The inside mean free surface area center is at . Only the fore-aft part of the -th moonpool boundaries is required to be meshed. Like the second moonpool type stated above, the extended pressure modes on the -th moonpool mean free surface are derived from the prescribed pressure modes of the -th moonpool:

(4–138)

where is the x- and y-coordinates of the point on the -th moonpool mean free surface of which the area center is at ; if is the even function of y and if is the odd function of y.

A similar concept is applied for defining the composite boundary condition on the meshed part of

(4–139)

(4–140)

(4–141)

(4–142)

A moonpool (Moonpool ) is not symmetric in FRA but has three mirrored moonpools (Moonpools )

The whole boundary surfaces of the -th moonpool should be meshed, the internal mean free surface area center is at .

Based on prescribed pressure modes defined on the -th moonpool mean free surface , the other pressure modes on the internal mean free surfaces within the mirrored moonpools are:

On ,

(4–143)

On ,

(4–144)

On ,

(4–145)

where

is the-th moonpool mean free surface area center,

is the-th moonpool mean free surface area center,

is the -th moonpool mean free surface area center.

Similar to Equation 4–134 through Equation 4–137 on the meshed surface of , the composite non-dimensional pressure modal shapes on the whole surface ofare

(4–146)

A moonpool (Moonpool ) has port-starboard symmetry in FRA

The internal mean free surface area center is at . Only the port or starboard part of the -th moonpool boundaries is required to be meshed. prescribed pressure modes on the -th moonpool internal mean free surface is input and defined by Equation 4–125 through Equation 4–127.

The composite source distribution method discussed in Composite Source Distribution Method for Symmetric Structures is directly used for the potential due to the prescribed pressure modes on this moonpool's internal mean free surface.

A moonpool (Moonpool ) is not symmetric in FRA but has one mirrored moonpool (Moonpool )

The entire boundary surface of the-th moonpool should be meshed, the internal mean free surface area center is at .

Based on prescribed pressure modes defined on the -th moonpool mean free surface , the other pressure modes on the internal mean free surfaces within the mirrored moonpool are

(4–147)

where is the -th moonpool mean free surface area center, .

Similar to Equation 4–146 on the meshed surface of , the composite non-dimensional pressure modal shapes for a port-starboard symmetric case are

(4–148)

A moonpool (Moonpool ) is of fore-aft symmetry in FRA

The internal mean free surface area center is at . Only the fore-aft part of the -th moonpool boundaries is required to be meshed. prescribed pressure modes on the -th moonpool internal mean free surface are input and defined by Equation 4–125 through Equation 4–127.

The composite source distribution method discussed in Composite Source Distribution Method for Symmetric Structures is directly used for the potential due to the prescribed pressure modes on this moonpool's internal mean free surface.

A moonpool (Moonpool ) is not symmetric in FRA but has one mirrored moonpool (Moonpool )

The entire boundary surface of the -th moonpool should be meshed. The internal mean free surface area center is at .

Based on prescribed pressure modes defined on the -th moonpool mean free surface , the other pressure modes on the internal mean free surfaces within the mirrored moonpool are

(4–149)

where is the -th moonpool mean free surface area center, .

Similar to Equation 4–148 on the meshed surface of , the composite non-dimensional pressure modal shapes for port-starboad symmetric case are

(4–150)