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Julia
Nektar
Commits
9738e4ae
Commit
9738e4ae
authored
Apr 13, 2017
by
Spencer Sherwin
Browse files
Merge branch 'fix/lagrange-interp' into 'master'
Fix issue with file boundary condition interpolation See merge request !768
parents
4c83a458
96fd0500
Changes
11
Hide whitespace changes
Inline
Side-by-side
CHANGELOG.md
View file @
9738e4ae
...
...
@@ -18,6 +18,7 @@ v4.4.1
------
**Library**
-
Remove the duplicate output of errorutil (!756)
-
Fix interpolation issue with Lagrange basis functions (!768)
**FieldConvert**
:
-
Fix issue with FieldConvert when range flag used (!761)
...
...
library/LocalRegions/Expansion3D.cpp
View file @
9738e4ae
...
...
@@ -1103,9 +1103,7 @@ namespace Nektar
"Not set up for non boundary-interior expansions"
);
ASSERTL1
(
inoutmat
->
GetRows
()
==
inoutmat
->
GetColumns
(),
"Assuming that input matrix was square"
);
ASSERTL1
(
GetBasisType
(
0
)
==
LibUtilities
::
eModified_A
,
"Method set up only for modified modal bases curretly"
);
int
i
,
j
;
int
id1
,
id2
;
Expansion2DSharedPtr
faceExp
=
m_faceExp
[
face
].
lock
();
...
...
library/LocalRegions/HexExp.cpp
View file @
9738e4ae
...
...
@@ -710,6 +710,26 @@ namespace Nektar
}
break
;
}
case
LibUtilities
::
eGLL_Lagrange
:
{
LibUtilities
::
PointsKey
p0
(
nummodes
[
0
],
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
p1
(
nummodes
[
1
],
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
p2
(
nummodes
[
2
],
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
t0
(
m_base
[
0
]
->
GetNumModes
(),
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
t1
(
m_base
[
1
]
->
GetNumModes
(),
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
t2
(
m_base
[
2
]
->
GetNumModes
(),
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
Interp3D
(
p0
,
p1
,
p2
,
data
,
t0
,
t1
,
t2
,
coeffs
);
}
break
;
default:
ASSERTL0
(
false
,
"basis is either not set up or not "
"hierarchicial"
);
...
...
library/LocalRegions/QuadExp.cpp
View file @
9738e4ae
...
...
@@ -1563,15 +1563,17 @@ namespace Nektar
break
;
case
LibUtilities
::
eGLL_Lagrange
:
{
// Assume that input is also Gll_Lagrange but no way to check;
LibUtilities
::
PointsKey
p0
(
nummodes
[
0
],
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
p1
(
nummodes
[
1
],
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
Interp2D
(
p0
,
p1
,
data
,
m_base
[
0
]
->
GetPointsKey
(),
m_base
[
1
]
->
GetPointsKey
(),
coeffs
);
LibUtilities
::
PointsKey
t0
(
m_base
[
0
]
->
GetNumModes
(),
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
PointsKey
t1
(
m_base
[
1
]
->
GetNumModes
(),
LibUtilities
::
eGaussLobattoLegendre
);
LibUtilities
::
Interp2D
(
p0
,
p1
,
data
,
t0
,
t1
,
coeffs
);
}
break
;
case
LibUtilities
::
eGauss_Lagrange
:
...
...
@@ -1581,10 +1583,13 @@ namespace Nektar
p0
(
nummodes
[
0
],
LibUtilities
::
eGaussGaussLegendre
);
LibUtilities
::
PointsKey
p1
(
nummodes
[
1
],
LibUtilities
::
eGaussGaussLegendre
);
LibUtilities
::
Interp2D
(
p0
,
p1
,
data
,
m_base
[
0
]
->
GetPointsKey
(),
m_base
[
1
]
->
GetPointsKey
(),
coeffs
);
LibUtilities
::
PointsKey
t0
(
m_base
[
0
]
->
GetNumModes
(),
LibUtilities
::
eGaussGaussLegendre
);
LibUtilities
::
PointsKey
t1
(
m_base
[
1
]
->
GetNumModes
(),
LibUtilities
::
eGaussGaussLegendre
);
LibUtilities
::
Interp2D
(
p0
,
p1
,
data
,
t0
,
t1
,
coeffs
);
}
break
;
default:
...
...
library/StdRegions/StdHexExp.cpp
View file @
9738e4ae
...
...
@@ -84,9 +84,13 @@ namespace Nektar
bool
StdHexExp
::
v_IsBoundaryInteriorExpansion
()
{
return
(
m_base
[
0
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
)
&&
(
m_base
[
1
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
)
&&
(
m_base
[
2
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
);
return
(
m_base
[
0
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
&&
m_base
[
1
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
&&
m_base
[
2
]
->
GetBasisType
()
==
LibUtilities
::
eModified_A
)
||
(
m_base
[
0
]
->
GetBasisType
()
==
LibUtilities
::
eGLL_Lagrange
&&
m_base
[
1
]
->
GetBasisType
()
==
LibUtilities
::
eGLL_Lagrange
&&
m_base
[
1
]
->
GetBasisType
()
==
LibUtilities
::
eGLL_Lagrange
);
}
...
...
solvers/ADRSolver/CMakeLists.txt
View file @
9738e4ae
...
...
@@ -173,6 +173,7 @@ IF( NEKTAR_SOLVER_ADR )
ADD_NEKTAR_TEST_LENGTHY
(
Helmholtz3D_nodal
)
ADD_NEKTAR_TEST
(
Helmholtz3D_CubePeriodic
)
ADD_NEKTAR_TEST
(
Helmholtz3D_Cube_BndFile
)
ADD_NEKTAR_TEST
(
Helmholtz3D_Cube_BndFile_Lagrange
)
ADD_NEKTAR_TEST
(
Helmholtz3D_CubePeriodic_RotateFace
)
ADD_NEKTAR_TEST
(
CubeAllElements
)
ADD_NEKTAR_TEST
(
ImDiffusion_m12
)
...
...
solvers/ADRSolver/Tests/Helmholtz3D_Cube_BndFile.tst
View file @
9738e4ae
...
...
@@ -9,10 +9,10 @@
</files>
<metrics>
<metric
type=
"L2"
id=
"1"
>
<value
variable=
"u"
tolerance=
"1e-12"
>
8.64367
e-07
</value>
<value
variable=
"u"
tolerance=
"1e-12"
>
9.53762
e-07
</value>
</metric>
<metric
type=
"Linf"
id=
"2"
>
<value
variable=
"u"
tolerance=
"1e-12"
>
1.
75866
e-05
</value>
<value
variable=
"u"
tolerance=
"1e-12"
>
1.
84523
e-05
</value>
</metric>
</metrics>
</test>
solvers/ADRSolver/Tests/Helmholtz3D_Cube_BndFile.xml
View file @
9738e4ae
...
...
@@ -146,7 +146,7 @@
<DOMAIN>
C[0]
</DOMAIN>
</GEOMETRY>
<EXPANSIONS>
<E
COMPOSITE=
"C[0]"
NUMMODES=
"7"
TYPE=
"
MODIFIED
"
FIELDS=
"u"
/>
<E
COMPOSITE=
"C[0]"
NUMMODES=
"7"
TYPE=
"
GLL_LAGRANGE
"
FIELDS=
"u"
/>
</EXPANSIONS>
<CONDITIONS>
<SOLVERINFO>
...
...
solvers/ADRSolver/Tests/Helmholtz3D_Cube_BndFile_Lagrange.bc
0 → 100644
View file @
9738e4ae
<?xml version="1.0" encoding="utf-8" ?>
<NEKTAR>
<Metadata>
<Provenance>
<GitBranch>
refs/heads/fix/lagrange-interp
</GitBranch>
<GitSHA1>
9825170fede03c92e760e0c8d3a05d62722a3ee1
</GitSHA1>
<Hostname>
farringdon
</Hostname>
<NektarVersion>
4.5.0
</NektarVersion>
<Timestamp>
12-Apr-2017 11:34:55
</Timestamp>
</Provenance>
<ChkFileNum>
0
</ChkFileNum>
<SessionName0>
Helmholtz3D_Cube_BndFile.xml
</SessionName0>
</Metadata>
<ELEMENTS
FIELDS=
"u"
SHAPE=
"Quadrilateral"
BASIS=
"GLL_Lagrange,GLL_Lagrange"
NUMMODESPERDIR=
"UNIORDER:9,9"
ID=
"1,6,21,25"
COMPRESSED=
"B64Z-LittleEndian"
BITSIZE=
"64"
>
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
</ELEMENTS>
</NEKTAR>
solvers/ADRSolver/Tests/Helmholtz3D_Cube_BndFile_Lagrange.tst
0 → 100644
View file @
9738e4ae
<?xml version="1.0" encoding="utf-8" ?>
<test>
<description>
3D Helmholtz with boundary files, different Lagrange order
</description>
<executable>
ADRSolver
</executable>
<parameters>
Helmholtz3D_Cube_BndFile_Lagrange.xml
</parameters>
<files>
<file
description=
"Session File"
>
Helmholtz3D_Cube_BndFile_Lagrange.xml
</file>
<file
description=
"Session File"
>
Helmholtz3D_Cube_BndFile_Lagrange.bc
</file>
</files>
<metrics>
<metric
type=
"L2"
id=
"1"
>
<value
variable=
"u"
tolerance=
"1e-12"
>
9.59332e-07
</value>
</metric>
<metric
type=
"Linf"
id=
"2"
>
<value
variable=
"u"
tolerance=
"1e-12"
>
1.85419e-05
</value>
</metric>
</metrics>
</test>
solvers/ADRSolver/Tests/Helmholtz3D_Cube_BndFile_Lagrange.xml
0 → 100644
View file @
9738e4ae
<?xml version="1.0" encoding="utf-8" ?>
<NEKTAR>
<GEOMETRY
DIM=
"3"
SPACE=
"3"
>
<VERTEX>
<V
ID=
"0"
>
0.00000000e+00 0.00000000e+00 0.00000000e+00
</V>
<V
ID=
"1"
>
5.00000000e-01 0.00000000e+00 0.00000000e+00
</V>
<V
ID=
"2"
>
5.00000000e-01 5.00000000e-01 0.00000000e+00
</V>
<V
ID=
"3"
>
0.00000000e+00 5.00000000e-01 0.00000000e+00
</V>
<V
ID=
"4"
>
0.00000000e+00 0.00000000e+00 5.00000000e-01
</V>
<V
ID=
"5"
>
5.00000000e-01 0.00000000e+00 5.00000000e-01
</V>
<V
ID=
"6"
>
5.00000000e-01 5.00000000e-01 5.00000000e-01
</V>
<V
ID=
"7"
>
0.00000000e+00 5.00000000e-01 5.00000000e-01
</V>
<V
ID=
"8"
>
0.00000000e+00 0.00000000e+00 1.00000000e+00
</V>
<V
ID=
"9"
>
5.00000000e-01 0.00000000e+00 1.00000000e+00
</V>
<V
ID=
"10"
>
5.00000000e-01 5.00000000e-01 1.00000000e+00
</V>
<V
ID=
"11"
>
0.00000000e+00 5.00000000e-01 1.00000000e+00
</V>
<V
ID=
"12"
>
5.00000000e-01 1.00000000e+00 0.00000000e+00
</V>
<V
ID=
"13"
>
0.00000000e+00 1.00000000e+00 0.00000000e+00
</V>
<V
ID=
"14"
>
5.00000000e-01 1.00000000e+00 5.00000000e-01
</V>
<V
ID=
"15"
>
0.00000000e+00 1.00000000e+00 5.00000000e-01
</V>
<V
ID=
"16"
>
5.00000000e-01 1.00000000e+00 1.00000000e+00
</V>
<V
ID=
"17"
>
0.00000000e+00 1.00000000e+00 1.00000000e+00
</V>
<V
ID=
"18"
>
1.00000000e+00 0.00000000e+00 0.00000000e+00
</V>
<V
ID=
"19"
>
1.00000000e+00 5.00000000e-01 0.00000000e+00
</V>
<V
ID=
"20"
>
1.00000000e+00 0.00000000e+00 5.00000000e-01
</V>
<V
ID=
"21"
>
1.00000000e+00 5.00000000e-01 5.00000000e-01
</V>
<V
ID=
"22"
>
1.00000000e+00 0.00000000e+00 1.00000000e+00
</V>
<V
ID=
"23"
>
1.00000000e+00 5.00000000e-01 1.00000000e+00
</V>
<V
ID=
"24"
>
1.00000000e+00 1.00000000e+00 0.00000000e+00
</V>
<V
ID=
"25"
>
1.00000000e+00 1.00000000e+00 5.00000000e-01
</V>
<V
ID=
"26"
>
1.00000000e+00 1.00000000e+00 1.00000000e+00
</V>
</VERTEX>
<EDGE>
<E
ID=
"0"
>
0 1
</E>
<E
ID=
"1"
>
0 3
</E>
<E
ID=
"2"
>
0 4
</E>
<E
ID=
"3"
>
1 2
</E>
<E
ID=
"4"
>
1 5
</E>
<E
ID=
"5"
>
2 3
</E>
<E
ID=
"6"
>
2 6
</E>
<E
ID=
"7"
>
3 7
</E>
<E
ID=
"8"
>
4 5
</E>
<E
ID=
"9"
>
4 7
</E>
<E
ID=
"10"
>
5 6
</E>
<E
ID=
"11"
>
6 7
</E>
<E
ID=
"12"
>
4 8
</E>
<E
ID=
"13"
>
5 9
</E>
<E
ID=
"14"
>
6 10
</E>
<E
ID=
"15"
>
7 11
</E>
<E
ID=
"16"
>
8 9
</E>
<E
ID=
"17"
>
8 11
</E>
<E
ID=
"18"
>
9 10
</E>
<E
ID=
"19"
>
10 11
</E>
<E
ID=
"20"
>
3 13
</E>
<E
ID=
"21"
>
2 12
</E>
<E
ID=
"22"
>
12 13
</E>
<E
ID=
"23"
>
12 14
</E>
<E
ID=
"24"
>
13 15
</E>
<E
ID=
"25"
>
7 15
</E>
<E
ID=
"26"
>
6 14
</E>
<E
ID=
"27"
>
14 15
</E>
<E
ID=
"28"
>
14 16
</E>
<E
ID=
"29"
>
15 17
</E>
<E
ID=
"30"
>
11 17
</E>
<E
ID=
"31"
>
10 16
</E>
<E
ID=
"32"
>
16 17
</E>
<E
ID=
"33"
>
1 18
</E>
<E
ID=
"34"
>
18 19
</E>
<E
ID=
"35"
>
18 20
</E>
<E
ID=
"36"
>
19 2
</E>
<E
ID=
"37"
>
19 21
</E>
<E
ID=
"38"
>
5 20
</E>
<E
ID=
"39"
>
20 21
</E>
<E
ID=
"40"
>
21 6
</E>
<E
ID=
"41"
>
20 22
</E>
<E
ID=
"42"
>
21 23
</E>
<E
ID=
"43"
>
9 22
</E>
<E
ID=
"44"
>
22 23
</E>
<E
ID=
"45"
>
23 10
</E>
<E
ID=
"46"
>
19 24
</E>
<E
ID=
"47"
>
24 12
</E>
<E
ID=
"48"
>
24 25
</E>
<E
ID=
"49"
>
21 25
</E>
<E
ID=
"50"
>
25 14
</E>
<E
ID=
"51"
>
25 26
</E>
<E
ID=
"52"
>
23 26
</E>
<E
ID=
"53"
>
26 16
</E>
</EDGE>
<FACE>
<Q
ID=
"0"
>
0 3 5 1
</Q>
<Q
ID=
"1"
>
0 4 8 2
</Q>
<Q
ID=
"2"
>
3 6 10 4
</Q>
<Q
ID=
"3"
>
5 7 11 6
</Q>
<Q
ID=
"4"
>
1 2 9 7
</Q>
<Q
ID=
"5"
>
8 10 11 9
</Q>
<Q
ID=
"6"
>
8 13 16 12
</Q>
<Q
ID=
"7"
>
10 14 18 13
</Q>
<Q
ID=
"8"
>
11 15 19 14
</Q>
<Q
ID=
"9"
>
9 12 17 15
</Q>
<Q
ID=
"10"
>
16 18 19 17
</Q>
<Q
ID=
"11"
>
5 21 22 20
</Q>
<Q
ID=
"12"
>
21 23 26 6
</Q>
<Q
ID=
"13"
>
22 24 27 23
</Q>
<Q
ID=
"14"
>
20 7 25 24
</Q>
<Q
ID=
"15"
>
11 26 27 25
</Q>
<Q
ID=
"16"
>
26 28 31 14
</Q>
<Q
ID=
"17"
>
27 29 32 28
</Q>
<Q
ID=
"18"
>
25 15 30 29
</Q>
<Q
ID=
"19"
>
19 31 32 30
</Q>
<Q
ID=
"20"
>
33 34 36 3
</Q>
<Q
ID=
"21"
>
33 35 38 4
</Q>
<Q
ID=
"22"
>
34 37 39 35
</Q>
<Q
ID=
"23"
>
36 6 40 37
</Q>
<Q
ID=
"24"
>
38 39 40 10
</Q>
<Q
ID=
"25"
>
38 41 43 13
</Q>
<Q
ID=
"26"
>
39 42 44 41
</Q>
<Q
ID=
"27"
>
40 14 45 42
</Q>
<Q
ID=
"28"
>
43 44 45 18
</Q>
<Q
ID=
"29"
>
36 46 47 21
</Q>
<Q
ID=
"30"
>
46 48 49 37
</Q>
<Q
ID=
"31"
>
47 23 50 48
</Q>
<Q
ID=
"32"
>
40 49 50 26
</Q>
<Q
ID=
"33"
>
49 51 52 42
</Q>
<Q
ID=
"34"
>
50 28 53 51
</Q>
<Q
ID=
"35"
>
45 52 53 31
</Q>
</FACE>
<ELEMENT>
<H
ID=
"0"
>
0 1 2 3 4 5
</H>
<H
ID=
"1"
>
5 6 7 8 9 10
</H>
<H
ID=
"2"
>
11 3 12 13 14 15
</H>
<H
ID=
"3"
>
15 8 16 17 18 19
</H>
<H
ID=
"4"
>
20 21 22 23 2 24
</H>
<H
ID=
"5"
>
24 25 26 27 7 28
</H>
<H
ID=
"6"
>
29 23 30 31 12 32
</H>
<H
ID=
"7"
>
32 27 33 34 16 35
</H>
</ELEMENT>
<COMPOSITE>
<C
ID=
"0"
>
H[0-7]
</C>
<C
ID=
"1"
>
F[0,11,20,29]
</C>
<C
ID=
"2"
>
F[1,6,21,25]
</C>
<C
ID=
"3"
>
F[22,26,30,33]
</C>
<C
ID=
"4"
>
F[13,17,31,34]
</C>
<C
ID=
"5"
>
F[4,9,14,18]
</C>
<C
ID=
"6"
>
F[10,19,28,35]
</C>
</COMPOSITE>
<DOMAIN>
C[0]
</DOMAIN>
</GEOMETRY>
<EXPANSIONS>
<E
COMPOSITE=
"C[0]"
NUMMODES=
"7"
TYPE=
"GLL_LAGRANGE"
FIELDS=
"u"
/>
</EXPANSIONS>
<CONDITIONS>
<SOLVERINFO>
<I
PROPERTY=
"EQTYPE"
VALUE=
"Helmholtz"
/>
<I
PROPERTY=
"Projection"
VALUE=
"Continuous"
/>
</SOLVERINFO>
<PARAMETERS>
<P>
Lambda = 1
</P>
<P>
IterativeSolverTolerance = 1e-8
</P>
</PARAMETERS>
<VARIABLES>
<V
ID=
"0"
>
u
</V>
</VARIABLES>
<BOUNDARYREGIONS>
<B
ID=
"0"
>
C[1]
</B>
<B
ID=
"1"
>
C[2]
</B>
<B
ID=
"2"
>
C[3]
</B>
<B
ID=
"3"
>
C[4]
</B>
<B
ID=
"4"
>
C[5]
</B>
<B
ID=
"5"
>
C[6]
</B>
</BOUNDARYREGIONS>
<BOUNDARYCONDITIONS>
<REGION
REF=
"0"
>
<D
VAR=
"u"
VALUE=
"cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</REGION>
<REGION
REF=
"1"
>
<D
VAR=
"u"
FILE=
"Helmholtz3D_Cube_BndFile_Lagrange.bc"
/>
</REGION>
<REGION
REF=
"2"
>
<D
VAR=
"u"
VALUE=
"cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</REGION>
<REGION
REF=
"3"
>
<D
VAR=
"u"
VALUE=
"cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</REGION>
<REGION
REF=
"4"
>
<R
VAR=
"u"
VALUE=
"10*cos(PI*x)*cos(PI*y)*cos(PI*z) + PI*sin(PI*x)*cos(PI*y)*cos(PI*z)"
PRIMCOEFF=
"10.0"
/>
</REGION>
<REGION
REF=
"5"
>
<D
VAR=
"u"
VALUE=
"cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</REGION>
</BOUNDARYCONDITIONS>
<FUNCTION
NAME=
"Forcing"
>
<E
VAR=
"u"
VALUE=
"-(Lambda+3*PI*PI)*cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</FUNCTION>
<FUNCTION
NAME=
"ExactSolution"
>
<E
VAR=
"u"
VALUE=
"cos(PI*x)*cos(PI*y)*cos(PI*z)"
/>
</FUNCTION>
</CONDITIONS>
</NEKTAR>
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