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[quote]Originally posted by
zyj8119
at 2010-09-08 20:01:21:
CODE:
********************************************************************************
** FICHE F.1. PERIODIC BOUNDARY CONDITIONS IN VARIOUS GEOMETRIES **
** This FORTRAN code is ... [/quote]
[code]********************************************************************************
** FICHE F.2. GEAR 5-VALUE PREDICTOR-CORRECTOR ALGORITHM **
** This FORTRAN code is intended to illustrate points made in the text. **
** To our knowledge it works correctly. However it is the responsibility of **
** the user to test it, if it is to be used in a research application. **
********************************************************************************
C *******************************************************************
C ** GEAR 5-VALUE PREDICTOR-CORRECTOR ALGORITHM FOR TRANSLATION. **
C ** **
C ** REFERENCE: **
C ** **
C ** GEAR, NUMERICAL INITIAL VALUE PROBLEMS IN ORDINARY **
C ** DIFFERENTIAL EQUATIONS (PRENTICE-HALL,1971). **
C ** **
C ** SUPPLIED ROUTINES: **
C ** **
C ** SUBROUTINE PREDIC ( DT ) **
C ** PREDICTS THE NEW POSITIONS, VELOCITIES, ETC. **
C ** SUBROUTINE CORREC ( DT, M, K ) **
C ** CORRECTS THE POSITIONS, VELOCITIES ETC. USING GEAR METHOD **
C ** **
C ** PRINCIPAL VARIABLES: **
C ** **
C ** INTEGER N NUMBER OF MOLECULES **
C ** REAL DT TIMESTEP **
C ** REAL RX(N),RY(N),RZ(N) POSITIONS **
C ** REAL VX(N),VY(N),VZ(N) VELOCITIES **
C ** REAL AX(N),AY(N),AZ(N) ACCELERATIONS **
C ** REAL BX(N),BY(N),BZ(N) THIRD DERIVATIVES **
C ** REAL CX(N),CY(N),CZ(N) FOURTH DERIVATIVES **
C ** REAL FX(N),FY(N),FZ(N) FORCES **
C ** **
C ** USAGE: **
C ** **
C ** AT EACH TIMESTEP, CALL PREDIC, FORCE, CORREC IN ORDER **
C ** FOLLOWED BY ACCUMULATION OF THERMODYNAMIC QUANTITIES. **
C ** THE FORCE ROUTINE (NOT SUPPLIED HERE: SEE F.17) CALCULATES **
C ** POTENTIAL ENERGY AND FORCES ON ALL ATOMS. **
C *******************************************************************
SUBROUTINE PREDIC ( DT )
COMMON / BLOCK1 / RX, RY, RZ, VX, VY, VZ, AX, AY, AZ,
: BX, BY, BZ, CX, CY, CZ, FX, FY, FZ
C *******************************************************************
C ** PREDICTOR ROUTINE **
C ** **
C ** IN TIMESTEP-SCALED VARIABLES THE PREDICTOR IS THE PASCAL **
C ** TRIANGLE MATRIX. IN UNSCALED VARIABLES IT IS A TAYLOR SERIES **
C ** **
C ** USAGE: **
C ** **
C ** PREDIC IS CALLED TO ADVANCE THE COORDINATES, VELOCITIES ETC. **
C ** BY ONE TIMESTEP DT, PRIOR TO FORCE EVALUATION. **
C *******************************************************************
INTEGER N
PARAMETER ( N = 108 )
REAL DT
REAL RX(N), RY(N), RZ(N)
REAL VX(N), VY(N), VZ(N)
REAL AX(N), AY(N), AZ(N)
REAL BX(N), BY(N), BZ(N)
REAL CX(N), CY(N), CZ(N)
REAL FX(N), FY(N), FZ(N)
INTEGER I
REAL C1, C2, C3, C4
C *******************************************************************
C1 = DT
C2 = C1 * DT / 2.0
C3 = C2 * DT / 3.0
C4 = C3 * DT / 4.0
DO 100 I = 1, N
RX(I) = RX(I) + C1*VX(I) + C2*AX(I) + C3*BX(I) + C4*CX(I)
RY(I) = RY(I) + C1*VY(I) + C2*AY(I) + C3*BY(I) + C4*CY(I)
RZ(I) = RZ(I) + C1*VZ(I) + C2*AZ(I) + C3*BZ(I) + C4*CZ(I)
VX(I) = VX(I) + C1*AX(I) + C2*BX(I) + C3*CX(I)
VY(I) = VY(I) + C1*AY(I) + C2*BY(I) + C3*CY(I)
VZ(I) = VZ(I) + C1*AZ(I) + C2*BZ(I) + C3*CZ(I)
AX(I) = AX(I) + C1*BX(I) + C2*CX(I)
AY(I) = AY(I) + C1*BY(I) + C2*CY(I)
AZ(I) = AZ(I) + C1*BZ(I) + C2*CZ(I)
BX(I) = BX(I) + C1*CX(I)
BY(I) = BY(I) + C1*CY(I)
BZ(I) = BZ(I) + C1*CZ(I)
100 CONTINUE
RETURN
END
SUBROUTINE CORREC ( DT, M, K )
COMMON / BLOCK1 / RX, RY, RZ, VX, VY, VZ, AX, AY, AZ,
: BX, BY, BZ, CX, CY, CZ, FX, FY, FZ
C *******************************************************************
C ** CORRECTOR ROUTINE **
C ** **
C ** CORRECTS POSITIONS, VELOCITIES ETC. AFTER FORCE EVALUATION. **
C ** IN TIMESTEP-SCALED VARIABLES THE NUMERICAL COEFFICIENTS ARE **
C ** GIVEN BY GEAR (REF ABOVE): 19/120, 3/4, 1, 1/2, 1/12. **
C ** IN UNSCALED FORM THESE MUST BE MULTIPLIED BY FACTORS **
C ** INVOLVING THE TIMESTEP AS SHOWN HERE. **
C ** **
C ** PRINCIPAL VARIABLES: **
C ** **
C ** REAL M ATOMIC MASS **
C ** REAL K KINETIC ENERGY PER ATOM **
C ** REAL GEAR0,GEAR1,GEAR2,GEAR3 GEAR COEFFICIENTS **
C ** **
C ** USAGE: **
C ** **
C ** IT IS ASSUMED THAT INTERMOLECULAR FORCES HAVE BEEN CALCULATED **
C ** AND STORED IN FX,FY,FZ. CORREC SIMPLY APPLIES THE CORRECTOR **
C ** EQUATIONS BASED ON THE DIFFERENCES BETWEEN PREDICTED AND **
C ** EVALUATED ACCELERATIONS. IT ALSO CALCULATES KINETIC ENERGY. **
C *******************************************************************
INTEGER N
PARAMETER ( N = 108)
REAL DT
REAL RX(N), RY(N), RZ(N)
REAL VX(N), VY(N), VZ(N)
REAL AX(N), AY(N), AZ(N)
REAL BX(N), BY(N), BZ(N)
REAL CX(N), CY(N), CZ(N)
REAL FX(N), FY(N), FZ(N)
REAL M, K
INTEGER I
REAL AXI, AYI, AZI
REAL CORRX, CORRY, CORRZ
REAL C1, C2, C3, C4
REAL CR, CV, CB, CC
REAL GEAR0, GEAR1, GEAR3, GEAR4
PARAMETER ( GEAR0 = 19.0 / 120.0, GEAR1 = 3.0 / 4.0,
: GEAR3 = 1.0 / 2.0, GEAR4 = 1.0 / 12.0 )
C *******************************************************************
C1 = DT
C2 = C1 * DT / 2.0
C3 = C2 * DT / 3.0
C4 = C3 * DT / 4.0
CR = GEAR0 * C2
CV = GEAR1 * C2 / C1
CB = GEAR3 * C2 / C3
CC = GEAR4 * C2 / C4
K = 0.0
DO 100 I = 1, N
AXI = FX(I) / M
AYI = FY(I) / M
AZI = FZ(I) / M
CORRX = AXI - AX(I)
CORRY = AYI - AY(I)
CORRZ = AZI - AZ(I)
RX(I) = RX(I) + CR * CORRX
RY(I) = RY(I) + CR * CORRY
RZ(I) = RZ(I) + CR * CORRZ
VX(I) = VX(I) + CV * CORRX
VY(I) = VY(I) + CV * CORRY
VZ(I) = VZ(I) + CV * CORRZ
AX(I) = AXI
AY(I) = AYI
AZ(I) = AZI
BX(I) = BX(I) + CB * CORRX
BY(I) = BY(I) + CB * CORRY
BZ(I) = BZ(I) + CB * CORRZ
CX(I) = CX(I) + CC * CORRX
CY(I) = CY(I) + CC * CORRY
CZ(I) = CZ(I) + CC * CORRZ
K = K + VX(I) ** 2 + VY(I) ** 2 + VZ(I) ** 2
100 CONTINUE
K = 0.5 * M * K
RETURN
END
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ÒýÓûØÌû:
Originally posted by
zyj8119
at 2010-09-08 19:59:05:
Õâ±¾ÊéµÄ´úÂëºÍÍôÎÄ´¨µÄÊéÉϵĴúÂë¶¼¿ÉÒÔÒ»ÆðÌÖÂÛÌÖÂÛ£¬ÕâÑù´ó¼Ò²ÅÄܽø²½ºÜ¿ì¡£
CODE:
********************************************************************************
** FICHE F.1. PERIODIC BOUNDARY CONDITIONS IN VARIOUS GEOMETRIES **
** This FORTRAN code is intended to illustrate points made in the text. **
** To our knowledge it works correctly. However it is the responsibility of **
** the user to test it, if it is to be used in a research application. **
********************************************************************************
C *******************************************************************
C ** THREE ROUTINES ILLUSTRATING THE IMPLEMENTATION OF PERIODIC **
C ** BOUNDARY CONDITIONS FOR SIMULATIONS IN DIFFERENT GEOMETRIES. **
C ** **
C ** REFERENCES: **
C ** **
C ** ADAMS DJ, CCP5 QUARTERLY, 10, 30, 1983. **
C ** SMITH W, CCP5 QUARTERLY, 10, 37, 1983. **
C ** TALBOT J, PRIVATE COMMUNICATION, 1987. **
C ** **
C ** SUPPLIED ROUTINES: **
C ** **
C ** SUBROUTINE TOBOUN ( I ) **
C ** IMPLEMENTS THE PERIODIC BOUNDARY CONDITIONS FOR MOLECULE **
C ** I IN A TRUNCATED OCTAHEDRAL BOX **
C ** SUBROUTINE RDBOUN ( I ) **
C ** IMPLEMENTS THE PERIODIC BOUNDARY CONDITIONS FOR MOLECULE **
C ** I IN A RHOMBIC DODECAHEDRAL BOX **
C ** SUBROUTINE RHBOUN ( I ) **
C ** IMPLEMENTS THE PERIODIC BOUNDARY CONDITIONS FOR MOLECULE **
C ** I IN A TWO DIMENSIONAL RHOMBOIDAL BOX. **
C ** **
C ** PRINCIPAL VARIABLES: **
C ** **
C ** INTEGER N THE NUMBER OF ATOMS **
C ** INTEGER I A PARTICULAR ATOM **
C ** REAL RX(N),RY(N),RZ(N) POSITIONS **
C ** **
C ** USAGE: **
C ** **
C ** THESE SUBROUTINES ARE CALLED AFTER THE ATOMS HAVE BEEN MOVED **
C ** IN AN MC OR MD CODE. IF AN ATOM HAS MOVED OUT OF THE BOX, IT **
C ** WILL BE REPLACED IN THE CENTRAL BOX ACCORDING TO THE PERIODIC **
C ** BOUNDARY CONDITIONS. THIS CODE HAS BEEN WRITTEN AS SEPARATE **
C ** SUBROUTINES FOR CONVENIENCE. IN YOUR PARTICULAR APPLICATION **
C ** IT MAY NOT BE APPROPRIATE TO CALL IT AS A SUBROUTINE. **
C ** SIMILAR CODE MAY BE USED TO CALCULATE THE MINIMUM IMAGE **
C ** DISTANCE BETWEEN A PAIR I, J. IN THIS CASE RX(I) SHOULD **
C ** BE REPLACED BY RXIJ, RY(I) BY RYIJ, AND RZ(I) BY RZIJ. **
C *******************************************************************
SUBROUTINE TOBOUN ( I )
COMMON / BLOCK1 / RX, RY, RZ
C *******************************************************************
C ** PERIODIC BOUNDARY CONDITIONS FOR A TRUNCATED OCTAHEDRON **
C ** **
C ** THE BOX IS CENTRED AT THE ORIGIN. THE AXES PASS THROUGH THE **
C ** CENTRES OF THE SIX SQUARE FACES OF THE TRUNCATED OCTAHEDRON **
C ** (SEE F1G. 1.10(A)). THE CONTAINING CUBE IS OF UNIT LENGTH **
C *******************************************************************
INTEGER N
PARAMETER ( N = 108 )
INTEGER I
REAL RX(N), RY(N), RZ(N)
REAL CORR, R75
PARAMETER ( R75 = 4.0 / 3.0 )
C *******************************************************************
RX(I) = RX(I) - ANINT ( RX(I) )
RY(I) = RY(I) - ANINT ( RY(I) )
RZ(I) = RZ(I) - ANINT ( RZ(I) )
CORR = 0.5 * AINT ( R75 * ( ABS ( RX(I) ) +
: ABS ( RY(I) ) +
: ABS ( RZ(I) ) ) )
RX(I) = RX(I) - SIGN ( CORR, RX(I) )
RY(I) = RY(I) - SIGN ( CORR, RY(I) )
RZ(I) = RZ(I) - SIGN ( CORR, RZ(I) )
RETURN
END
SUBROUTINE RDBOUN ( I )
COMMON / BLOCK1 / RX, RY, RZ
C *******************************************************************
C ** PERIODIC BOUNDARY CONDITIONS FOR A RHOMBIC DODECAHEDRON **
C ** **
C ** THE BOX IS CENTRED AT THE ORIGIN. THE X AND Y AXES JOIN THE **
C ** CENTRES OF OPPOSITE FACES OF THE DODECAHEDRON. THE Z AXIS **
C ** JOINS OPPOSITE VERTICES OF THE RHOMBIC DODECAHEDRON (SEE FIG. **
C ** 1.10(B)). THE DIAGONAL OF THE RHOMBIC FACE IS OF UNIT LENGTH **
C ** AND THE SIDE OF THE CONTAINING CUBE IS SQRT(2.0). **
C ** NOTE THAT THE X AND Y AXES PASS THROUGH THE CUBE EDGES, WHILE **
C ** THE Z AXIS PASSES THROUGH THE CUBE FACES. **
C ** **
C ** PRINCIPAL VARIABLES: **
C ** **
C ** REAL RT2 SQRT(2.0) TO MACHINE ACCURACY **
C ** REAL RRT2 1.0/SQRT(2.0) **
C *******************************************************************
INTEGER N
PARAMETER ( N = 108 )
INTEGER I
REAL RX(N), RY(N), RZ(N)
REAL RT2, RRT2, CORR
PARAMETER ( RT2 = 1.4142136, RRT2 = 1.0 / RT2 )
C *******************************************************************
RX(I) = RX(I) - ANINT ( RX(I) )
RY(I) = RY(I) - ANINT ( RY(I) )
RZ(I) = RZ(I) - RT2 * ANINT ( RRT2 * RZ(I) )
CORR = 0.5 * AINT ( ( ABS ( RX(I) ) +
: ABS ( RY(I) ) +
: RT2 * ABS ( RZ(I) ) )
RX(I) = RX(I) - SIGN ( CORR, RX(I) )
RY(I) = RY(I) - SIGN ( CORR, RY(I) )
RZ(I) = RZ(I) - SIGN ( CORR, RZ(I) ) * RT2
RETURN
END
SUBROUTINE RHBOUN ( I )
COMMON / BLOCK1 / RX, RY, RZ
C *******************************************************************
C ** PERIODIC BOUNDARY CONDITIONS FOR A RHOMBIC BOX. **
C ** **
C ** PERIODIC CORRECTIONS ARE APPLIED IN TWO DIMENSIONS X, Y. **
C ** IN MOST APPLICATIONS THE MOLECULES WILL BE CONFINED IN THE **
C ** Z DIRECTION BY REAL WALLS RATHER THAN BY PERIODIC BOUNDARIES. **
C ** THE BOX IS CENTRED AT THE ORIGIN. THE X AXIS LIES ALONG THE **
C ** SIDE OF THE RHOMBUS, WHICH IS OF UNIT LENGTH. **
C ** **
C ** PRINCIPAL VARIABLES: **
C ** **
C ** REAL RT3 SQRT(3.0) TO MACHINE ACCURACY **
C ** REAL RT32 SQRT(3.0)/2.0 **
C ** REAL RRT3 1.0/SQRT(3.0) **
C ** REAL RRT32 2.0/SQRT(3.0) **
C *******************************************************************
INTEGER N
PARAMETER ( N = 108 )
INTEGER I
REAL RX(N), RY(N), RZ(N)
REAL RT3, RRT3, RT32, RRT32
PARAMETER ( RT3 = 1.7320508, RRT3 = 1.0 / RT3 )
PARAMETER ( RT32 = RT3 / 2.0, RRT32 = 1.0 / RT32 )
C *******************************************************************
RX(I) = RX(I) - ANINT ( RX(I) - RRT3 * RY(I) )
: - ANINT ( RRT32 * RY(I) ) * 0.5
RY(I) = RY(I) - ANINT ( RRT32 * RY(I) ) * RT32
RETURN
END
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¡ï ¡ï
lei0736(½ð±Ò+2):лл·ÖÏí 2010-09-09 09:11:51
ÒýÓûØÌû:
Originally posted by
zyj8119
at 2010-09-08 20:02:33:
[code]********************************************************************************
** FICHE F.2. GEAR 5-VALUE PREDICTOR-CORRECTOR ALGORITHM **
** This FORTRAN code is ...
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2026-08-21
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2026-08-24
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2026-08-19
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2026-08-24
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2026-08-21
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2026-08-18
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2026-08-20
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2026-08-20
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2026-08-18
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2026-08-20
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2026-08-19
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2026-08-21
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2026-08-21 17:52
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2026-08-20
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2026-08-19
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2026-08-18
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2026-08-20 11:09
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2026-08-18
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