1.5.10 Patch test for acoustic elements

Products: ABAQUS/Standard  ABAQUS/Explicit  

Elements tested

AC1D2    AC1D3   

ACAX3    ACAX4    ACAX4R    ACAX6    ACAX8   

AC2D3    AC2D4    AC2D4R    AC2D6    AC2D8   

AC3D4    AC3D6    AC3D8    AC3D8R    AC3D10    AC3D15    AC3D20   

Problem description

The meshes used for the acoustic element patch tests are the same as those used for the corresponding heat transfer elements.

Note:  The models are analyzed via *STEADY STATE DYNAMICS procedures in which a small frequency, 0.01 Hz, is requested. In ABAQUS/Explicit the steady-state results are obtained by performing a long-term transient simulation.

Boundary conditions:

, where P is the acoustic pressure, through are arbitrary constants, and x, y, z denote spatial location. Acoustic pressures (DOF 8) are prescribed at every node along the boundary of the mesh.

Reference solution

It is currently not possible to report the pressure gradients for acoustic elements in ABAQUS. However, it is possible to compare the acoustic pressures at the interior nodes of the mesh to the values that are analytically calculated from the above expression for P.

Results and discussion

All elements yield exact values of P at the interior nodes of the models.

Input files

ABAQUS/Standard input files

ec12afp7.inp

AC1D2 elements.

ec13afp7.inp

AC1D3 elements.

eca3afp7.inp

ACAX3 elements.

eca4afp7.inp

ACAX4 elements.

eca6afp7.inp

ACAX6 elements.

eca8afp7.inp

ACAX8 elements.

ec23afp7.inp

AC2D3 elements.

ec24afp7.inp

AC2D4 elements.

ec26afp7.inp

AC2D6 elements.

ec28afp7.inp

AC2D8 elements.

ec34afp7.inp

AC3D4 elements.

ec36afp7.inp

AC3D6 elements.

ec38afp7.inp

AC3D8 elements.

ec3aafp7.inp

AC3D10 elements.

ec3fafp7.inp

AC3D15 elements.

ec3kafp7.inp

AC3D20 elements.

ABAQUS/Explicit input files